{"pages":{"search":{"query":"Direct Product","originalQuery":"Direct Product","serpid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","parentReqid":"","serpItems":[{"id":"10797965516157094726-0-0","type":"videoSnippet","props":{"videoId":"10797965516157094726"},"curPage":0},{"id":"15403789192607408122-0-1","type":"videoSnippet","props":{"videoId":"15403789192607408122"},"curPage":0},{"id":"7148106225356276669-0-2","type":"videoSnippet","props":{"videoId":"7148106225356276669"},"curPage":0},{"id":"11391815728254511066-0-3","type":"videoSnippet","props":{"videoId":"11391815728254511066"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dERpcmVjdCBQcm9kdWN0Cg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","ui":"desktop","yuid":"9318276151776404156"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"10313318034817448878-0-5","type":"videoSnippet","props":{"videoId":"10313318034817448878"},"curPage":0},{"id":"74560520140538655-0-6","type":"videoSnippet","props":{"videoId":"74560520140538655"},"curPage":0},{"id":"8680222421437526490-0-7","type":"videoSnippet","props":{"videoId":"8680222421437526490"},"curPage":0},{"id":"3290330620783387275-0-8","type":"videoSnippet","props":{"videoId":"3290330620783387275"},"curPage":0},{"id":"10306027739342829161-0-9","type":"videoSnippet","props":{"videoId":"10306027739342829161"},"curPage":0},{"id":"11769905214447735074-0-10","type":"videoSnippet","props":{"videoId":"11769905214447735074"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dERpcmVjdCBQcm9kdWN0Cg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","ui":"desktop","yuid":"9318276151776404156"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"3604516649106902494-0-12","type":"videoSnippet","props":{"videoId":"3604516649106902494"},"curPage":0},{"id":"4160721360614724528-0-13","type":"videoSnippet","props":{"videoId":"4160721360614724528"},"curPage":0},{"id":"13320350301219739754-0-14","type":"videoSnippet","props":{"videoId":"13320350301219739754"},"curPage":0},{"id":"5648364508964798198-0-15","type":"videoSnippet","props":{"videoId":"5648364508964798198"},"curPage":0},{"id":"2146742279819887781-0-16","type":"videoSnippet","props":{"videoId":"2146742279819887781"},"curPage":0},{"id":"2912474744799805638-0-17","type":"videoSnippet","props":{"videoId":"2912474744799805638"},"curPage":0},{"id":"6572675106947866445-0-18","type":"videoSnippet","props":{"videoId":"6572675106947866445"},"curPage":0},{"id":"R-I-113683-5-0-19","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":19,"grab":"dERpcmVjdCBQcm9kdWN0Cg==","statId":19,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","ui":"desktop","yuid":"9318276151776404156"}}},"isAdult":false,"position":19,"placement":"empty"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dERpcmVjdCBQcm9kdWN0Cg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","ui":"desktop","yuid":"9318276151776404156"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDirect%2BProduct","pages":[{"reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2523857291189944837753","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_viewer_related_fail_error_screen":1,"video_viewer_channel_link_mode":2,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_kebab_advanced_actions":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":0,"video_baobab_blockstat":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1,"video_comments_smart_nonstop":1},"slots":["1519497,0,96;1533631,0,63;1525905,0,56;1534928,0,27;1152685,0,64;1534915,0,8;123851,0,82;1541564,0,36;1484368,0,66;1519859,0,19;1525607,0,41;1535082,0,46;1523235,0,84;1525190,0,5;1524800,0,75;1522489,0,12;1526925,0,52;1519946,0,85;1146115,0,25;1349071,0,45;1524212,0,16;1534925,0,51;1540220,0,11;124063,0,83;1497952,0,62;263460,0,38;255407,0,38;1532170,0,21;1540110,0,65;965705,0,97;1528214,0,19;1539513,0,5;1352005,0,37;1534000,0,82;1539995,0,33;1515124,0,42;1539965,0,89;124079,0,37;151171,0,49;126351,0,29;1281084,0,98;287509,0,70;927444,0,66;1540419,0,2;1538600,0,41;1476853,0,39;1529214,0,87;681842,0,49"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDirect%2BProduct","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Direct+Product","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Direct+Product","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Direct Product: Yandex'te 3 bin video bulundu","description":"Результаты поиска по запросу \"Direct Product\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Direct Product — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y001f3172c6fded769d6424f41f6c62cd","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1519497,1533631,1525905,1534928,1152685,1534915,123851,1541564,1484368,1519859,1525607,1535082,1523235,1525190,1524800,1522489,1526925,1519946,1146115,1349071,1524212,1534925,1540220,124063,1497952,263460,255407,1532170,1540110,965705,1528214,1539513,1352005,1534000,1539995,1515124,1539965,124079,151171,126351,1281084,287509,927444,1540419,1538600,1476853,1529214,681842","queryText":"Direct Product","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9318276151776404156","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1511916,1514845,1535081,1543051,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1776404211","tz":"America/Louisville","to_iso":"2026-04-17T01:36:51-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1519497,1533631,1525905,1534928,1152685,1534915,123851,1541564,1484368,1519859,1525607,1535082,1523235,1525190,1524800,1522489,1526925,1519946,1146115,1349071,1524212,1534925,1540220,124063,1497952,263460,255407,1532170,1540110,965705,1528214,1539513,1352005,1534000,1539995,1515124,1539965,124079,151171,126351,1281084,287509,927444,1540419,1538600,1476853,1529214,681842","queryText":"Direct Product","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9318276151776404156","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"2523857291189944837753","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":165,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"isWatchingProgressInDoc2DocEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":true,"isCommentsOnboardingEnabledInTesting":false,"commentsOnboardingTextVariant":null,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":true,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"isCommentsAuthPopup":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false,"isSerialNavigatorDisabled":false,"isAdvInVideoListWithInnerPadding":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"9318276151776404156","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1808.0__02c46b34d70f38da062024cf7148364895cdae28","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"10797965516157094726":{"videoId":"10797965516157094726","docid":"34-11-16-ZF5C361538831381F","description":"@Noblechemistry you will find here what is direct product in group Theory? what are important features of direct product? #directproduct...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2123967/46c3a81ec9ae8fb8a53f8a8cfec4d94d/564x318_1"},"target":"_self","position":"0","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DVWrpdu_0xYo","linkTemplate":"/video/preview/10797965516157094726?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group Theory: Direct Product and its important features @Noblechemistry","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=VWrpdu_0xYo\",\"src\":\"serp\",\"rvb\":\"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-AgGCQAH_AIRCQzz9QEBAPoH__MCBP4ADOb9BP8AAAD5EQT-BwAAAPcG-v3z_wEAFgP7BwQAAAAb9fQJ_QAAAAIW8_f_AQAA8QgCDwT_AAAI__j-_wAAAAAEBPb7_wAA8w4GBgAAAAAW__YOAAAAACAALUvkxzs4E0AJSE5QAipzEAAaYPwoAD4I8eikBVLGJfKyDyflEQ794uT_5wj_BSzH6vP29dUC5v8Uwxb5rQAAADQl10LZAMxw5rm4Gv4w-tj-_f5If8cPGMssE8bW6wLeHeQm9KXn-QDVCPwS9x0MACTuBSAALbE_JTs4E0AJSG9QAiqvBhAMGqAGAAD4QQAATEIAACBBAACgwQAAuMEAAIDBAAAQQQAAZMIAABDCAABAwQAAUMEAANDBAABQwQAAoMEAAIxCAACAQAAAFEIAAIC_AACQwQAAiMEAABzCAACQwQAAAMAAANhBAADwQQAAiEEAAIjBAAD4wQAAMEIAAOhBAACgQAAAqEEAAHDBAACOQgAAAMEAACBBAAC4QQAA_kIAAIjBAADQQQAACEIAALDBAABAQgAAMMEAAADBAAAowgAAoMAAAFDBAABQQQAAmMEAAKTCAAA4QgAAoMAAADDBAAAcQgAAfEIAAADDAABwwQAAFMIAAFBBAACAQAAA2MEAAADBAAAEwgAAmMEAAETCAADAQAAAsEEAAIDBAABAwAAAnEIAALxCAAC4wQAALEIAABDBAACcwgAAcMEAAIA_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-AADuvgAAfL4AAEQ-AAAQvQAAqD0AALo-AACaPgAAPL4AAIo-AABEPgAAmD0AAFw-AAD6PgAAfz8AAAy-AADgPAAA6L0AAAS-AAAMPgAAiD0AAJi9AABAvAAApj4AAIg9AADgvAAAlr4AADA9AABQPQAAiD0AAIA7AABEvgAAoDwAAKg9AABkvgAA4DwAAKi9AADIPQAAjr4AAKC8AAAQPQAAHL4AAEC8AACovQAAyD0AAAS-AACWPgAA4DwAAOC8AADgPAAAEz8AALi9AABQPQAARD4AANi9AACAuwAAUL0AAIi9IAA4E0AJSHxQASqPAhABGoACAAAMvgAAoDwAAJq-AAAdvwAA4DwAAJI-AAAkPgAARD4AANi9AACGPgAAZL4AADy-AAC4vQAAZL4AACw-AAAQvQAAgLsAAC0_AACAOwAA-j4AAFA9AAAkPgAAqD0AAHC9AACgvAAAsj4AAOA8AAAQPQAAVL4AAFC9AABQvQAA4LwAAIC7AABwvQAABL4AAFy-AACIvQAAFL4AAFS-AACIPQAAoLwAAMg9AAAcPgAAqD0AANi9AACgPAAAf78AAFS-AAA8vgAAyD0AAIq-AABAPAAA4LwAADQ-AACqPgAA4DwAADA9AADYvQAAUD0AAEA8AABAvAAADD4AALg9AAC4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=VWrpdu_0xYo","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10797965516157094726"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15403789192607408122":{"videoId":"15403789192607408122","docid":"34-5-16-ZFBE14C788295EE1C","description":"The direct product is a way to combine two groups into a new, larger group. Just as you can factor integers into prime numbers, you can break apart some groups into a direct product of simpler...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2298643/3934c533a77790dbdecd8df5bc293444/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/j263ngAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrXLz8TdckWo","linkTemplate":"/video/preview/15403789192607408122?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Direct Products of Groups (Abstract Algebra)","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rXLz8TdckWo\",\"src\":\"serp\",\"rvb\":\"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_QMACvcDDfoM-wMLCgcA9wEBAP0MBfv6BP4A6v0PBAQAAAD2_QT9-AAAAO8A-P_xAAEAAgUIBwQAAAAYAv0A-AAAAAEG7wsAAQAA9QYCAgMAAAAC9wUGAAAAAPQL-PQAAAAAAgIH_vH7AAAG_QwBAAAAACAALR3j3js4E0AJSE5QAiqEAhAAGvABfxfwAAHd-QPuBtcAwhwaAJUUDP8XCeYArxMUAbb09gDtGN8A79zT_xMT9f-7KhsBMtfS_wDc9gA9EO0APfsAAPEEFwEk2gsAKwAtAfHz6_7mFgb-GPcPAP3I3wD3DgsBEgoFAPL84_ruA8QCGOYrAiUfIQUa2ScFDsP3BecUDwIJ5ur_JwgNBQrhDvgUGi4DAtsICAAD-vjNJ__6Chbs-_L0G_n59tgCIw34BRXZ-_rrzwcB9xnl-h36IgbmEuAI5tMR_NjmAPgaDiMCMPb1BbEcCgcF8OEDERPwEe_rAAnv9Pr93P8A6O0A-BLQGPYJIAAt77kYOzgTQAlIYVACKs8HEAAawAdPPsW-ftjcPDHGsDsKB8y9Vw8UvDSFDr2rIgy-EgCHPZuIozyYMNo9BSCkvB7WZTxU_B--J8wqPXfzuTzFVYU-VDBvvZt_KrzZQ0u-Q5J2Oyl_gr1MxDu-gpxFu1Yy17qOyCc-80RmPbBoI7ygNMQ9ptVQvRH_1jmzrna96z3wvCCAL71cAB47ecg5vEYiNLxhr4s8tyQsOuOwDz1GWMk9vH6MvUU7ODujMrC7DI43vTn1nLzIv8W8DkA0OhKOsLvRV5A9vSB9vAUEqbychLk7fjvJvOqrULyyKJG7PuTSPP7N8Lz3SSS9tD6APFDTHb0Pdq89igMmu0ZRIrqt-QG-VKWSPCHR3zv1vCs-zSx4PPp6vjwYPmK9drd8PRbfKzz5hOw89pUHPbGbgLu5ido9CesVPa4LhTsrKWG9xnsfPdAdjjxBXD27a9TDPcQbAjyfTag9_G8lPbnUkrweIXk9pDmNvV_YVDss-ZO9YmBCPA8vo7y71Og91XlUPJyl9zl9CdU9EaqzOupChzvFNUM9-FENvglvLLvO8ga9kDiKvZzLQ7x-OOg9QkCAO3x9ELxemTw9k4RpvNsAh7wodtm8VwirvTSIi7srbcE99AlqPG-nY7yBGd28ZLWUPJECVTz-LNa8YVygvPO-O7zp7Mk8TBjNPV_omrl1WwK-w1b_vCvP5Lm19Zg9OYKvvHkYA7uArFE9i1YJvfpm9rrxaGM99m5ivcG3KbrUoIE7dBWxvT6zW7gf9Oy8WAqWO5WRZbuTYpE9poE_vYOTrLlGX-E9IslHPbsKXTmsPOG9aUNUPZVbsjgV14I9iU1avTnrkzgUnYu9iXrhvcYncDkAR4y98gdDvWmAVbk9fu88WrWgPZ0ML7l31x28-h-avUTxSjlVhDu9VK0FPUgWnLjaHl09CrRlvTtQxjfF1Ew8j61CvOMfCLoIqcC8BKnUvOvZRzkfNBY98a_vPJoDiTi-58Y9AB2mvWpDhjl4rCO8rp9-PX0E0zj-kh48zYSwPLfRlbVyKYg9Zv5svYtypjavPZi8F_Qevv2KqrjEq9E8GF3BO0O2VbjK4QO-ENcePJf9TjcW1Yc8XgiDO3NMlDh9VdO8W_0gvMbaFLhVkHW9kKp9u8AMuzixFQQ-xv_4OzLZU7jvfbC9ZIpDvRQuQbh87NM8ofIvvYneajgyC7O9Ev5APbJytjcm3JC8FjAxvkGgWrnK9HA9IuErPvHLijhZlnk8xQxjPRu4jrj7NxS9ic43Pa8Nj7d8Jya9TjOTPF01yjggADgTQAlIbVABKnMQABpgAfwANu81CQkoUeAS588e3tYFzUDU-f_G9f_tKdni5_y_3SQP_zrB-t-kAAAACRq-Q98A93_KwrYbAfH1BJXMHTtf1CVR1MvzAdzsQxbW4usbAyg7AMfqoTEU9fQv9THvIAAttcAXOzgTQAlIb1ACKq8GEAwaoAYAADBBAABwwQAAmEEAAFhCAABAQAAAoMAAABRCAAAMwgAAwMEAAITCAADQQQAAAMAAAIzCAAAYwgAAJEIAAEDAAACAvwAAcEIAAFRCAAAYwgAAZMIAAEBAAADgwQAAVEIAABhCAAAIQgAAUMEAAPjBAABgQgAAkEEAAJjBAADoQQAAoEAAAGTCAACKwgAA4EAAAAjCAADUQgAAAMAAADBBAAAQQgAAIEIAACxCAAAsQgAA8EEAAMDAAAAEwgAAwMEAAHxCAACAvwAAgD8AAEBAAAAwQQAAEEEAAChCAAAAwgAALMIAAJhBAABQwgAAeEIAAMBBAAAwwQAAQMIAAPDBAAAowgAAoMAAAHDBAACEwgAAUMEAAFBBAABIQgAAmkIAAJLCAADKQgAAQMAAAMrCAAB4wgAABMIAAIDAAACQQQAA0MEAAFBBAADgQAAAyEEAAIjBAADAQAAAAEAAACRCAAA4QgAAlsIAAKjCAAAEQgAAgMEAAIzCAADoQQAAlsIAAEBAAABgQgAAGEIAAMDBAABAwAAAREIAAODAAABwwgAA-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-AACYvQAAbD4AABQ-AABQvQAA2L0AACe_AAB8vgAA6D0AAN4-AADyvgAAXD4AABQ-AACAuwAAmD0AABw-AADgPAAAgj4AABc_AAB_PwAA-D0AAAy-AADuvgAAvr4AAJi9AAAEvgAAnr4AAAG_AABQPQAAuj4AAGQ-AAAMvgAAdD4AABQ-AACgPAAAPD4AAI6-AACWvgAAqj4AAOK-AAC4PQAAPD4AAKo-AABUvgAAFD4AAKg9AAAMvgAAoDwAAEy-AABkvgAAjr4AAJ4-AAABPwAAQLwAAKg9AAAZPwAATL4AAHw-AACSPgAALL4AACQ-AACYvQAA4DwgADgTQAlIfFABKo8CEAEagAIAAIi9AADovQAAGb8AAAe_AACCvgAABD4AAHQ-AABQPQAADL4AANY-AACAuwAA2L0AAFS-AAAsvgAAmL0AAKC8AADgvAAABz8AABy-AADSPgAATD4AABQ-AADIvQAA-D0AAIA7AABMPgAAcL0AAHA9AACAOwAAML0AAIg9AADgvAAAyL0AAPi9AADgvAAARL4AAMI-AADgvAAAsr4AAKi9AABMPgAAZD4AAOg9AACYvQAAdD4AABQ-AAB_vwAAED0AAKA8AABsvgAAyL0AAJi9AAAQvQAAiD0AAIo-AAC4PQAAgDsAAIg9AABQPQAAXD4AAOA8AAAEPgAAEL0AAIA7IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rXLz8TdckWo","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15403789192607408122"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3894856867"},"7148106225356276669":{"videoId":"7148106225356276669","docid":"34-0-5-Z9A35DD7FDF78232A","description":"in this Lecture, Mr.Maneesh Kumar will discuss External Direct Product of Groups and Direct product of Groups in detail with examples. Group Theory One of the most important topics asked in CSIR...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2946676/1f47c48007322411034137a34948d314/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/LvHQCQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjhKy65DmYXw","linkTemplate":"/video/preview/7148106225356276669?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"#27 | External Direct Product of Groups | Direct product of Groups | CSIR NET Maths Lecture","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=jhKy65DmYXw\",\"src\":\"serp\",\"rvb\":\"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_E7ojggQkAYAEKyqLARABGniB_v4BCPsFAPwADwUHB_wBBg4Q_fgA_wADCgID_gP-APv9AP__AAAA_wUB_wUAAAD7_PX69v4BAAoFAAgEAAAAGAL9APgAAAACC_gG_gEAAO8LAgMDAAAABfoK_P8AAAAFBfv3_v8AAAQIAwQAAAAAAvgFBgAAAAAgAC15oOI7OBNACUhOUAIqhAIQABrwAX_sIQHP-9D_4Pft__sV_AG_BRz_HSXhAKno_v_A6-AB3v4VAALr4QD5ABT_zyETAAX37wDv6uwAF80V_9z9-wDp8wwATeINAXPt_gA17vH_vvcW_QbwCQIA5_EAFyP6AhLtBwEtGe7_EtfpBCP7LQE5ERkDHNwR_tvzBf_XCfcC1Ozk_-vsDgcv8wH52t8PACkE7APoDPD3tQMHABTd0gMV9gcCAh_4Afcg-wPWJ-AEwwjtABcC9AEDCBoC-RXa_BABDf_N6fD8LPQcAOIE-_4SBuv8CND4ARTcEvv-_gj6Cx4CB_EL_PztCusGB_0E6yAALVTpGDs4E0AJSGFQAipzEAAaYBL9ADHxIBXRDTX2PrPGC97mCsrxsPX_6Lr_2SjRCA_46PEaB_9V1xXWnQAAACkexyL9APJ_8szSJ-ogCfar3Sk0f-FDRqfDOuQJ-Toj0O7iE-ERMQDp66JuKhCxIS03GiAALWORDzs4E0AJSG9QAiqvBhAMGqAGAADgQQAAcMEAAJhCAACwwQAAwEAAAHDBAACwQQAAUEEAAKDAAACAQAAAUEEAADxCAADGwgAA4EAAAHhCAAC4wQAAAMAAAPjBAACYQQAAAMEAAIA_AAAQQgAAPMIAALRCAAC8QgAA4MAAAADCAAA0wgAAVEIAAIRCAAD4QQAAYEIAAOjBAABwwQAAwEAAAIA_AAAwQQAA_kIAABBBAAAQQQAAGEIAACDBAACAQQAATMIAAERCAAAEwgAAsMEAAOBBAAA4QgAAqEEAAEBAAABAQQAAOEIAALBBAAAMQgAAYEEAAGDBAAAgQQAAMMEAAKDAAABYQgAAQEAAAILCAADQQQAAFEIAAJBCAAAAQgAApsIAABDCAACgwAAAwEIAAIBAAAB4wgAAyEIAAChCAADowgAAwMEAAKDAAABAwQAAYEEAAEjCAACAQAAA2EEAALZCAAAUwgAAjkIAACBBAAAQwQAAIMEAADzCAAA4wgAA0EEAAKBAAADYwQAAAAAAANjBAAAMwgAAOEIAAMBCAADAQAAAwMAAAIRCAABgQQAAEMEAAEzCAAAgwQAACEIAAGRCAAA4wgAA-EEAAHBCAADAwAAAtMIAAIA_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-AAATvwAAuL0AADC9AAC4PQAAFL4AAI4-AAA8PgAAqL0AAMg9AABUPgAAyD0AAMg9AADKPgAAfz8AAPg9AADYPQAAFL4AAEA8AACgPAAA-L0AAAy-AABkvgAATD4AAGQ-AACAuwAAuL0AAIC7AAAsPgAApj4AAOg9AAAMvgAAZL4AAFC9AAC4vQAAqD0AACw-AAA8PgAAor4AABA9AACIPQAAEL0AABy-AACGvgAAHL4AAFA9AACuPgAAdD4AALi9AADgPAAADz8AABQ-AAAsPgAAZD4AADA9AADYPQAAQLwAAEC8IAA4E0AJSHxQASqPAhABGoACAAB0vgAAUL0AAKq-AAANvwAAHL4AAIC7AADiPgAAoLwAAEC8AAAHPwAAoLwAAKC8AAC4vQAAPL4AAAS-AAAwPQAAoDwAAP4-AABwPQAA4j4AAFw-AABsPgAANL4AADQ-AACIvQAAuj4AAHw-AAA0PgAAPL4AAKC8AABAPAAAcD0AAAS-AAAsvgAAor4AAOi9AACqPgAAqL0AAKq-AACgPAAAqD0AAEQ-AABkPgAAgDsAAMI-AADgPAAAf78AAJi9AAC4vQAABL4AACS-AACIPQAA4LwAAIA7AACOPgAA-D0AAIA7AADgPAAAgDsAAPg9AABAvAAAuL0AAPi9AADIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=jhKy65DmYXw","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["7148106225356276669"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11391815728254511066":{"videoId":"11391815728254511066","docid":"34-7-4-ZED29B86FEA2AD9A2","description":"#26 | External Direct Product | group theory || Direct product | csir net mathematics group theory CSIR NET Maths free lectures. in this Lecture, Mr.Maneesh Kumar will discuss External Direct...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1015209/6f43d25cd76303bbcc05b387cd811400/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/1LVEDAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dy-pop6ceqrk","linkTemplate":"/video/preview/11391815728254511066?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"#26 | External Direct Product | group theory | Direct product | csir net mathematics group theory","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=y-pop6ceqrk\",\"src\":\"serp\",\"rvb\":\"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_AUA_AAPBQcH_AELCQcA9wEAAP0MBfv6BP4A-_P__QMAAAD6CvsDAgAAAPMD_gH6AAAACf34BQMAAAASAAQE_QAAAAAW9gb-AAAA9QYCAgMAAAAN_v_4_wAAAP8C_v_9Af8ADA__AgEAAAAK_wX-AAAAACAALaLU4Ts4E0AJSE5QAiqEAhAAGvABfw35Aefw-gPOAuoB2REWAaoK_wAnFOUAwAX9ALv3yQDiDQIA79zT_-TvCADEHD__MdfT_wTN4wAL5gL_Ff78APEDFwFv3BIBUBPzAAzt3QDn-SL8E-YO_xfY1AMeK-T_Euom_Qol2AES2OkEI_ssATgQGQMUDCMD6vYX_tUVAgHV7OT_7wIMAgrhDvjaBCECLvb1_ugM8PfFE_oEDvPqAAjwFvYDGOUFC_X7DO4h8gPECO0AEQHfAQQHKv8LD-z-6PAX-dvh6PsH-gsG9BIU_vgR9wH30PX4AAcHAv7-CPr5Cfr-AQ4A-N4xAALn9QHzIAAt9YoaOzgTQAlIYVACKnMQABpgIfUANP4eBNn1I_0psMD_7e4IvgjK3P_cz__rJ7rz_e3g4jAG_y60FNyhAAAAIQjbKfQA53_d070s7kIK2ab4MCN96SxJs-IH2PMHViDh1ussyAoyAPntlGANA8IwJCUWIAAtF0gTOzgTQAlIb1ACKq8GEAwaoAYAABBCAABQwQAAkEIAAKDBAADAwAAAcMEAAPhBAAAwQQAAAEAAAMBAAACAQQAAJEIAAMDCAAAAQQAAgkIAAIjBAACAPwAADMIAAIhBAAAAwQAAAEEAAAxCAABUwgAAskIAAMJCAAAAwAAAAMIAAEDCAABYQgAAeEIAAARCAABYQgAAAMIAAGDBAAAAwAAAoEAAAGBBAAD-QgAAEEEAAKBAAADwQQAAMMEAAKBBAAA8wgAAREIAAPjBAAC4wQAAHEIAADRCAACQQQAAAMAAAMBAAABEQgAA-EEAAAxCAABwQQAAYMEAAKBAAAAwwQAAEMEAADxCAABAQAAAjMIAANBBAADoQQAAmEIAAOBBAACiwgAA-MEAAKDAAAC-QgAAMEEAAHzCAADGQgAADEIAAOzCAACgwQAA4MAAAEDBAABwQQAASMIAAOBAAADIQQAAukIAAAzCAACSQgAAMEEAACDBAABwwQAAQMIAABTCAADgQQAAgEAAAODBAAAAAAAAuMEAAAjCAABIQgAAtkIAACBBAAAAwAAAeEIAALBBAADAwAAAYMIAADDBAAAkQgAAWEIAADTCAADwQQAAbEIAAAAAAAC4wgAAwMAAAJJCAACAPwAAIMIAAFzCAACQQQAAFMIAAJDBAABAwAAAUEEAAODBAABIQgAACEIAABBBAAB0wgAAyEEAAKjBAAC4wQAA8MEAAGBBAAB8QgAA0MEAAAAAAABAwAAAYMEAAGjCAABMwgAAgMEAACBBAADQwQAAYEEAAABBAAAYQgAAgMEAADhCAABAQAAAQEAAANjBAABAQQAAAEAAABzCAABgQQAAPEIAAIDBAACAPwAAAEAAAOZCAABEwgAA-EEAAPDBAAAgwQAAQMAAAKBBAABUQgAA4EAAAFBBAABAQQAAgD8AAGBBAABwQQAAEMEAALhBAAAAQAAAAMEAAGDCAAAsQgAAREIAAIBAAADgwAAAiMIAAKDBAABIQgAA0MIAABDBAAAcQgAAhMIAAKhBAAD4QQAA8EEAAKBBAACIQQAAwEEAAFBCAAAwwQAAsEEAADDCAABgwSAAOBNACUh1UAEqjwIQABqAAgAAwr4AADm_AABQPQAAoLwAAIg9AAAUPgAAyr4AAF-_AAAwvQAAyL0AAJ4-AADYvQAA_j4AAFQ-AACCvgAAhj4AADw-AADYPQAA0j4AAGc_AAB_PwAAmD0AAFQ-AACCvgAAML0AAGw-AABwvQAAUL0AAKq-AAB8PgAA7j4AAGS-AAAMvgAAFD4AAFw-AADmPgAAgLsAAEy-AACOvgAATD4AAGy-AAAwPQAAXD4AAKI-AADuvgAAgDsAAGw-AACqvgAA2L0AAJq-AACKvgAAir4AANI-AAC2PgAAND4AAIg9AABXPwAA3j4AAOA8AADIPQAA-D0AAPg9AABMvgAAML0gADgTQAlIfFABKo8CEAEagAIAABy-AACovQAAkr4AAA2_AACovQAARD4AAAM_AABAvAAAEL0AAMo-AABAPAAA4LwAABC9AABEvgAA4LwAALg9AABQvQAAMz8AAAw-AAD2PgAAtj4AAOg9AADgPAAAMD0AAMi9AACWPgAAgj4AAJI-AACGvgAAqL0AADA9AACAuwAAPL4AAFy-AABUvgAABL4AABA9AAAUvgAApr4AAFA9AACiPgAA6D0AALI-AAAwvQAAmj4AALg9AAB_vwAAmr4AAOg9AAD4vQAAjr4AADw-AACevgAA4DwAAAs_AAAcPgAAUL0AAOg9AAAwPQAABD4AAIA7AABQvQAAqL0AAIA7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=y-pop6ceqrk","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11391815728254511066"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10313318034817448878":{"videoId":"10313318034817448878","docid":"34-6-10-ZE7C7651149EF91B5","description":"For more information & Topic wise Videos Lecture Contact ### 7890746344. ### # For Offline / Online Class Contact 8013493315 For Recording Course Call # 7890746344 / 8013493315 Safiqul SIR Teaches...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2712809/2e1f9330f15c90c6d14f37aa3d7fe673/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/kkpxOAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7TPGUa87S1Y","linkTemplate":"/video/preview/10313318034817448878?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Direct Product Of Group Theory | External Direct Product |Abstract Algebra| Safiqul Sir | Maths Hons","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7TPGUa87S1Y\",\"src\":\"serp\",\"rvb\":\"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_P0O_gIA9AILAAIE_gELCgcA9wEBAAAK-fX4BP4A8_oHAgQAAAAFAAABBAAAAO0H_fX1AQAAF_z5AAMAAAAQBv4I9wAAAAAX9gf-AAAA-Ar-_AMAAAAM_QQA_wAAAP0G-fz5_gABBg0KCQAAAAAJ9QgDAAAAACAALdOk2js4E0AJSE5QAiqEAhAAGvABfw3eANf7-v_lFMABzD7sAZX7Dv8p9_oBzAEOAMPs4gEABO8A0t7O_wH6_AD7EQ__NQrc_yraHwAi2fH_CyXsAN0C_QFX6OYAMRv0_8D-zf3R8C4ABu8YAP0B0AAcF8kADBEf_90E7v_9-db9H9UG_wPuEAL8ERQA_-EJ-89F_QEL09n-8wcTChT0BPfbBCAC1_cRAiEaEPzmBPIB6dTjBQ7aC_wHK9j-D-DtC9n07vgAAQX89goH9OoLIgPv8gQDGgUgAPv-7wQANQD7AfgU9fvuDAPq2gAC5uQRAP_rB_T46QEAC_P1AO8LBfQA4fv6IAAt5IofOzgTQAlIYVACKs8HEAAawAcpIM2-nYwAPYpCBr36DdO9kHjDPGxwB73tftW9O-qDvOeUW7zRYO48VxIvPT4Ue71ZwFS-BIyMOSrP1zz9vXQ-klRLvQOx7Dx1dPy9LxOaPQsCEL3nVni-AlrEvHhSEbrAX0w-8qXmPNe0ALlo4w09rKD1Ol5S0LwzOKW8gCXbO1sAZLwNjIS-O5tkvZ094bqtf-E8s8W_vMRPLbzjIMw94D78PF6R6zqLZd-8QX8hvacN4jtrbpo7Sfhjuu-RCTznq1Q-8F2UPGzJDTy-Cro85RR4vLi4fLxWUIy90MEJvVoUkbyVUoY9IzHBPLtlYrw8MAA-jFkFvaOFlTttrOS9phEuPZROwTuj1Y89p3J_vKzCqLpn7gG9AQBbPMszzLtlyRe9zjjNPG2gDLyaAde7NVLAPAnNx7spmPE9jfsFPXIiUbsFKi08RkEQPd3zVzyk1BI8zkKxvN6P27zxSJs60a5CPImSNbycFAs7oEZrPK2bnLtw9Rc9g8UcPauM0DyRi5A9itHvulUr2TpwCus8Re-5vfZH5bnJ6eu9zgPzvGzA1ju9rOQ8mlo7PSWuIzxl8GE9aVHEvD90_zodBN29qGonPK8h2TsXmSO8Zyx1vYu4Sjy9ioy8FJA7PVI3I7z1xXS9s1-YuxNPLLwOT688gzXpPAP4-jtKuTY9zXqMvZNxmDd4H4w9IrFzPYByCLsl31a9kWzHO-T9jzoH7uA9etweu_alDro8fKO8guepvdZ_X7h9esc8-vOIPLa3HbseXgY9sKP7vGggvDkDJ9s9gHR7vPaBJ7oRJhu9ARiKPVg1kblr4z48dAicvG21bLlcVAu9nBXxvdyedTmlFV88hvmMPd_3Jzn1FBk92A4pO4Bk0rjMIMO91A0EvghThTktPR48OUlOvCHoc7gEWCQ-YFmpPPAu7Di81EO9QVgVu7lI5rdn78y9mhGUvB7EjDmnf0Q9vNK9PScq-zbfAw89wLA8vdCgE7h-clS9k3EsPSaasbhGGia9ftcRPVAAI7cwLhG8qJtaPWNm-rg34ok9z9QwPRsaMTcRTJq8o9KDPSMfDDjKL-i8jw-EvBKm9DdAi4A9O5eYvHWKBDjhiAQ9SckBvTf5mjZBg0m7oQ4wPb3bhDjUQ_Q9VmBNPZSLXbmp2zm95n9JO8FR8Dd87NM8ofIvvYneajiRvwq9gx6VPYtDkTe4cwE9zCuCvS9mdLgi_-w9NSkFPvN-W7j6T-067HXBPIvtoLix4Wm9tiqNO4u8wrfNZ2-9IfQivaNQ0rcgADgTQAlIbVABKnMQABpgIfUAKRsrB9IRGNYi3eQA8esAugvf_P_30__nOdfs6-_NpyL-_xK_AACnAAAAEg3CEfwA3X_e36nt10vb5ozuPht98DEsu9we8tMDMPvg7xD_5ikQAM_5n0MT9tRB9jf0IAAt8DYbOzgTQAlIb1ACKq8GEAwaoAYAAGDBAACAPwAAWEIAALzCAABgwQAAwEEAADBCAAAEwgAAfMIAAEzCAAAQQQAAIMEAABzCAACAvwAATEIAAMBBAAAcQgAA6MEAAEhCAACawgAAoMEAAADCAABUwgAAeEIAAKhBAADYwQAAEMEAAEDCAAAUQgAAlEIAAADBAAAAQgAAgMEAABRCAACiwgAAoEAAAExCAABIQgAAgEAAAIRCAAAAwAAAyMEAANDBAACIwQAAyEEAAHDCAABwwQAA4EAAALBCAAC4QQAAMMEAAFzCAAAMwgAA4MAAAKBAAACwwQAAisIAANBBAABAwQAAIEIAABRCAAD4wQAAgMEAAIA_AACAQAAAbMIAAABAAACQwgAAoMEAAADCAAD4QQAAQEEAACTCAAA8QgAAQMIAAPDBAAAcwgAAmMEAADRCAACowQAAVMIAAKBAAADQQQAAAAAAACBCAAD-QgAAGMIAAKBBAAAMQgAA2MEAAMhBAAD4QQAAkMIAAFBBAACgwAAAfMIAAGBBAACIwQAACEIAAKBBAACQwgAAtkIAAIhBAACgwgAAYMIAAKDBAABoQgAAcEEAALbCAAC2QgAAIMEAAOBBAADYQQAAQEEAADxCAABgQgAAkEEAAKBBAADAwQAAHMIAAIhBAAA0wgAAcMEAABDBAABQQgAAOEIAAPjBAADQwQAAFMIAABDCAABIwgAAjMIAAEDAAACcQgAAYEEAAJjBAAAgQQAAoEAAAEDAAADIwQAABEIAACBCAABgQQAAuMEAAJBBAADAQAAAIMEAAATCAAAgwgAAwEEAAIhBAABQQgAABEIAAIA_AAAAwQAA0MEAACBBAAAYwgAAlMIAAHhCAABcwgAAgEEAALBBAAAAQQAAoEEAAABCAADgQQAAOEIAADBCAADgwQAAZMIAABDBAABMQgAAcMEAAABBAAAgQgAAAMEAAFDBAABYQgAAoEIAABjCAACSwgAAMMEAAJhBAAC4QQAAgMEAAK7CAABsQgAAVMIAADDBAADAwQAAAEAAAGDBAADAQAAAIEEAAADAAAAAwAAAgEAAAHjCAACawiAAOBNACUh1UAEqjwIQABqAAgAANL4AAI6-AABUPgAAcL0AAJg9AACoPQAARL4AAAG_AAA0vgAAED0AAIY-AAB0vgAAnj4AAMg9AABwvQAA6L0AALg9AAAQPQAAoj4AANo-AAB_PwAAVD4AALg9AABwvQAAfL4AAHC9AAAwPQAAqL0AAFC9AAB0PgAATD4AAAS-AAAEvgAAFD4AANg9AAA0PgAAqD0AAAS-AABMvgAA4DwAALq-AACIPQAAND4AAPg9AABMvgAAgDsAAFw-AABUvgAAEL0AAGS-AAA0vgAAmD0AALo-AACCPgAAcL0AABC9AAAXPwAAuD0AAAQ-AACgPAAA2L0AAJg9AADgvAAAVL4gADgTQAlIfFABKo8CEAEagAIAAAS-AADgPAAAiL0AABm_AACgvAAAFD4AAAw-AACIPQAABL4AAL4-AACAuwAABL4AAEy-AABkvgAAQLwAAKA8AAAQPQAAQz8AANg9AADCPgAADD4AAFA9AAAwvQAAEL0AAFC9AACGPgAAuD0AABQ-AADYvQAAmD0AAIA7AACYPQAAuL0AAMi9AAC4vQAAyL0AALg9AAAQvQAAor4AABC9AAAEPgAAuD0AAMg9AADgvAAA4DwAABQ-AAB_vwAALL4AAFA9AAAwvQAALL4AAIC7AAAUvgAAED0AAL4-AAAQPQAAUD0AAKg9AACAOwAAND4AAEA8AADYvQAAgLsAAIg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7TPGUa87S1Y","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10313318034817448878"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2555623829"},"74560520140538655":{"videoId":"74560520140538655","docid":"34-6-3-Z5F3648FD02043925","description":"Symmetry and Group Theory: M. Sc.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4561388/3e92bf01bbded5af0ec0de92c8a8ce63/564x318_1"},"target":"_self","position":"6","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Db55IGGQn6e8","linkTemplate":"/video/preview/74560520140538655?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Direct Product: Part-1: Symmetry and Group Theory","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=b55IGGQn6e8\",\"src\":\"serp\",\"rvb\":\"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-wf9AwD7AwMOCgj7AgsKBwD3AQEA_g4AAQUF_gD18An8_gAAAPoC-_4GAAAA9QYA-PwAAAAUA_sGBAAAAA78_Ab7AAAAAhT0-P8BAADs_wIJAwAAAP_9_wP6_wEA_Qb3-gIAAAD5EP0GAAAAAAz2AAUAAAAAIAAtIz_cOzgTQAlITlACKnMQABpg-RIAKPAK1eEbO-ruuMIWK8AL4vmo4v_v_P_sK53Q2uQBveT9_z2eFiWYAAAAGDDGKAAA0H8arLchESzqK6bsAS9tyRjh-sgTBtYA7fUw1tU_rgIwAAbn8TTFwOsmKRrqIAAtPV8SOzgTQAlIb1ACKq8GEAwaoAYAALBBAAB4QgAAskIAAJLCAACAQQAA2MEAACxCAABAwQAAHMIAAODAAADIQQAAMEEAANDBAACAQQAAREIAAABBAACgwAAApMIAAIC_AABQwgAAoEEAAKhBAAAIwgAAvkIAAIpCAAAAAAAAdMIAAI7CAACCQgAANEIAAHRCAACAQQAAnMIAAIBBAADAQQAAMEEAAIC_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-AABsPgAALD4AADS-AACYPQAAVL4AAP6-AAAwvQAABD4AAIY-AACYvQAAbD4AACw-AABkvgAAZD4AAFw-AADgPAAAjj4AAAE_AAB_PwAA2D0AAIi9AACYPQAA-L0AAEw-AACgPAAABL4AAEC8AAAEPgAAMD0AAMi9AACivgAARD4AAOC8AAAsPgAAQDwAAIq-AAAkvgAALL4AALq-AABwvQAAlj4AAHQ-AAC2vgAAdL4AAOC8AABwvQAAiL0AAFC9AACgPAAAiL0AAJo-AABcPgAA2L0AAEC8AAA5PwAAmL0AANg9AACYPQAA-D0AAHA9AABwPQAAgDsgADgTQAlIfFABKo8CEAEagAIAAKi9AAAsvgAAqL0AAB-_AAAQPQAAdD4AAL4-AABQvQAA6L0AALI-AACIPQAAUL0AADw-AAD4vQAA6D0AAKC8AAAQPQAANz8AALg9AAC6PgAAgDsAAAw-AAAMPgAAgDsAAOA8AADgPAAAVD4AAJg9AADYvQAAUL0AAIC7AABQPQAARL4AADS-AAAQvQAARL4AADC9AACYPQAArr4AAIA7AAC4PQAADD4AAFQ-AACAOwAA-D0AAIi9AAB_vwAAgDsAAEw-AABAvAAAoLwAAIC7AACIvQAAiD0AAKI-AABQPQAAiD0AAKA8AACIvQAAoDwAABw-AACgPAAAQLwAAPi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=b55IGGQn6e8","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["74560520140538655"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"8680222421437526490":{"videoId":"8680222421437526490","docid":"34-7-12-ZD432A28197B881DD","description":"A definition of the (external) direct product of two or more groups, and a characterization of groups of order 4...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4282970/4206708f5fde5f8260ffb999ef9d6c72/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Nz2cBwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJe3VMleLgos","linkTemplate":"/video/preview/8680222421437526490?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Direct products of groups: a definition","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Je3VMleLgos\",\"src\":\"serp\",\"rvb\":\"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_E9EGggQkAYAEKyqLARABGniBB_v0CQb5AAP5Dw8GDPkDBxAS_PcA_wDwEQX4BQEAANv3CggA_gAA6wYJ_PgAAADo_fXz_QEAAAMGFgcEAAAAIf3y-vwAAAALB_YJ_gEAAOUB_QADAAAAC_YLAwAAAADvA_r5_v8AAAUHAxYAAAAA_wELBv8AAAAgAC3CscM7OBNACUhOUAIqhAIQABrwAXIHBwHfBfUB6AruANgj5QGBAAL_JRPmAML86wDd8sgB5SUM_9Hq9wD4GxUAvRHv_w_h0wD9_AH_HeT__yLlGwAADAwATeQuBDIkFwD2I-L_4x4p_hDUBwD82PoACBUB_RHvBgHa5tEBAAbjAwnZOAIhEDQAL_EWAd7zBf_pEw4C2P70ABn8CgjjCQP__AL-B-Xn1QMVK9n_1wXnAgcK-v_-4hX9FArmAzj-EALhDvj27BH_B_UA9P4UHiD_DRv1-vfl___v_vT57AsDASfsBgXyAhD3Dt0HAwX58P3x8wv06QcFAeE-BwLRDxH7AeIL9SAALb9PJDs4E0AJSGFQAipzEAAaYBABAFDpIOwQEmjjMc_SBuTp8t8KsRj_ytb_1xvT89oF6McM-_9OtCr6oAAAACYp7zmeAN5_zczAFOQ86trA6vsrevgyMaeVI-zX9VEl6tkQGv7iJADy5pYXCinoIxsHCiAALTa4Dzs4E0AJSG9QAiqPAhAAGoACAABwvQAA6r4AAAQ-AAAMPgAAqL0AAPi9AADYvQAAyr4AAJi9AACgPAAAgj4AAFy-AADYPQAAuD0AAIi9AADIPQAAgj4AAHA9AABUPgAAnj4AAH8_AACqPgAAyL0AADC9AADovQAAQLwAABy-AACGvgAAuL0AAGQ-AAAEPgAAFD4AAAS-AABAPAAAiD0AADQ-AAAUPgAAdL4AAAy-AAC4PQAAuL0AAJ6-AADoPQAAJD4AAPi9AACgvAAAiL0AAJi9AAAEvgAAbL4AAHA9AABQPQAADD4AADw-AACIPQAAoDwAAAk_AAAcvgAA-D0AAM4-AADgPAAAgLsAAIA7AACgvCAAOBNACUh8UAEqjwIQARqAAgAAgDsAAIa-AADavgAAGb8AABy-AABkPgAAXD4AABA9AAAEvgAA7j4AALi9AAAQvQAAQDwAACS-AADIvQAAQLwAABQ-AADuPgAAyD0AAAU_AAAQPQAAuj4AAFC9AABMPgAAMD0AAJg9AABEPgAAoLwAAOC8AAAQvQAAgDsAAEA8AADgPAAALL4AAHy-AABUvgAAmD0AAOA8AACWvgAAUD0AAFA9AACuPgAAJD4AAPi9AAB0PgAA4LwAAH-_AABUPgAAJD4AAHC9AADYvQAA6L0AAIi9AAAMPgAAPD4AAOg9AABQPQAAgDsAAPi9AADgPAAAQDwAAKA8AACgvAAAoLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Je3VMleLgos","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":360,"cratio":1.33333,"dups":["8680222421437526490"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"3290330620783387275":{"videoId":"3290330620783387275","docid":"34-6-15-ZC863F44AD00ED791","description":"channel eMaths Guru. 2- abelian groups with solved examples • Group Th...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/216479/7007b29a5d4813029741bc4a8aef64d7/564x318_1"},"target":"_self","position":"8","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrwPdj-LDqIU","linkTemplate":"/video/preview/3290330620783387275?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group Theory || Direct Products of Groups || External Direct Product of Groups || Abstract Algebra","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rwPdj-LDqIU\",\"src\":\"serp\",\"rvb\":\"EqsDChQxMDc5Nzk2NTUxNjE1NzA5NDcyNgoUMTU0MDM3ODkxOTI2MDc0MDgxMjIKEzcxNDgxMDYyMjUzNTYyNzY2NjkKFDExMzkxODE1NzI4MjU0NTExMDY2ChQxMDMxMzMxODAzNDgxNzQ0ODg3OAoRNzQ1NjA1MjAxNDA1Mzg2NTUKEzg2ODAyMjI0MjE0Mzc1MjY0OTAKEzMyOTAzMzA2MjA3ODMzODcyNzUKFDEwMzA2MDI3NzM5MzQyODI5MTYxChQxMTc2OTkwNTIxNDQ0NzczNTA3NAoTMzYwNDUxNjY0OTEwNjkwMjQ5NAoTNDE2MDcyMTM2MDYxNDcyNDUyOAoUMTMzMjAzNTAzMDEyMTk3Mzk3NTQKEzU2NDgzNjQ1MDg5NjQ3OTgxOTgKEzIxNDY3NDIyNzk4MTk4ODc3ODEKEzI5MTI0NzQ3NDQ3OTk4MDU2MzgKEzY1NzI2NzUxMDY5NDc4NjY0NDUKFDE2Nzg4MzUyNDk5OTA0ODgzNDMzChMxMjE1MTAxMDc0NzkzMzgzOTk2ChQxMTE4MjY4MjU3OTE1MjM4NTc2NBoVChMzMjkwMzMwNjIwNzgzMzg3Mjc1WhMzMjkwMzMwNjIwNzgzMzg3Mjc1aq8NEgEwGAAiRRoxAAoqaGhndHV6bWVwcHRwdmdmY2hoVUNJdXFLSmNKbVFTajZDeFg1RkluQ0VREgIAEioQwg8PGg8_E9sLggQkAYAEKyqLARABGniBBv76CPwEAPz5BgcCB_wCDgMSAPcBAAD9DAX7-gT-APP6BwEEAAAA__4F9foAAADwAPj_8QABAAoFAAgEAAAAGAL9APgAAAACC_gG_gEAAO8BBf8DAAAABf4DBAAAAAD9Bvn8-v4AAQQIAwQAAAAAD_4JBAAAAAAgAC11HeA7OBNACUhOUAIqcxAAGmDaEAAuBxAd3CYz1RTqyAoE7hP-79_5_9zZAPQl09wL6fjvEAT_O7oH_bwAAAAQHtYl-wAFXAfWshARNO4GyNAsPn_sJh7c3Q3B3_UnDvTp6OvdA_gA1_XqGfvt_zAJMg0gAC3fND87OBNACUhvUAIqrwYQDBqgBgAAqEEAAEDBAACkQgAAWMIAAKjBAAAowgAAIMEAANDBAAAgwQAAIEEAAIBAAACgQQAAusIAACDCAAB8QgAAcEEAAATCAAAgwgAA4MAAAKLCAADoQQAAoMEAAIBBAABQQQAApEIAALjBAAAwwQAAwsIAABBCAAA8QgAATMIAAOxCAAA4wgAAwMEAAMDBAABAQQAAkMEAAGxCAACAwAAAyMEAAFhCAADAwQAAsMEAAOBBAABMQgAAKMIAAJDCAAAAQQAAVEIAAIBAAAAkwgAAEMEAAHjCAADgQQAA8EEAAIA_AAA8wgAANEIAAADAAACEQgAAHEIAAGDBAACwwQAAyMEAAIhBAAAwwQAAjEIAAJDBAAAUwgAAGEIAALpCAABwQgAAWMIAAExCAABAwAAAOMIAAFDBAAAwwQAAwMAAAJjBAAAowgAAQEEAAChCAACoQgAAAMAAAGBCAAD4wQAAwEAAALhBAABUwgAA-EEAAJhBAACKwgAAqMEAAADCAAA8wgAABMIAACRCAACQQgAAZMIAALDBAAB0QgAABEIAAOzCAACQwQAAAEAAAHBBAADAQAAAJMIAABxCAACAQQAA-MEAAEBAAAA4wgAApEIAAKBAAACYwQAAwMEAAMDAAACYwQAAMEEAAJDCAACgQQAARMIAANBBAABgQgAAgMEAAADCAAAAwAAAnMIAAADCAAAwwgAAREIAAJxCAAAIQgAAoEEAABBBAAAgwQAA0MEAAIbCAACwQQAAUEEAAABAAACQwQAAgEAAADBBAAAMwgAAcEEAACDBAADAwAAAEEEAAOBAAACQQQAAwMAAAKBBAABoQgAA-EEAAJzCAABwQQAAmkIAACDCAAA4QgAAqEEAAFzCAABgQQAAwMAAAIpCAAAQQQAAUEEAAEDAAAAwwgAAoMAAAKjBAACgQAAA2MEAAGRCAADgwAAAEEEAAHxCAADAQAAAqMEAANDBAADAQAAAwEAAAChCAAAEwgAAnsIAAHBBAAAgwQAAQEAAAFDCAACgQQAAgEEAAOBBAAAsQgAAwEAAAJDCAACwQQAAyMEAACzCIAA4E0AJSHVQASqPAhAAGoACAABkvgAAnr4AAFA9AAAUPgAAqD0AAJi9AABUvgAAJb8AAKi9AABQPQAAnj4AAAy-AAB0PgAA6D0AANi9AACIPQAA2D0AALg9AAA8PgAA9j4AAH8_AAAkPgAAgLsAAJa-AAAsvgAAgLsAAIi9AACCvgAAlr4AAIg9AAB8PgAAqD0AACy-AACoPQAAuD0AADw-AADIPQAA-L0AACS-AABwPQAAbL4AADC9AACYPQAAZD4AAHS-AACYvQAAJD4AABy-AACovQAAXL4AAAy-AABQvQAAbD4AAIo-AABQvQAAgDsAAAk_AACIvQAAyD0AAHQ-AABQPQAAyD0AAFC9AAAwvSAAOBNACUh8UAEqjwIQARqAAgAA-L0AAPi9AADGvgAAC78AABy-AABQPQAAkj4AABC9AAAcvgAA-j4AAKA8AABAPAAAcL0AABy-AACIvQAAoLwAAIi9AAAPPwAA4DwAAOI-AABMPgAAPD4AAAS-AAD4PQAAQDwAAGQ-AAAkPgAA2D0AAKi9AADgPAAA4DwAABC9AADIvQAALL4AADy-AAAMvgAALD4AAHC9AACmvgAAgLsAAPg9AABUPgAATD4AAEC8AACKPgAAEL0AAH-_AABAvAAAMD0AADy-AAAUvgAAgLsAAIi9AACAOwAAhj4AALg9AACAuwAAmD0AABC9AADYPQAAQDwAAKg9AACAuwAAML0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rwPdj-LDqIU","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3290330620783387275"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10306027739342829161":{"videoId":"10306027739342829161","docid":"34-3-11-Z5240EF5DEE9E4BEB","description":"to G1 and G2 respectively. 2- If G1 and G2 are two groups, then (i) G1x{e2} Ո {e1}xG2 = { (e1,e2) } (ii) every element in G1x{e2} commutes with element in {e1}xG2 (iii) every element in G1xG2 can...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2095261/43135d5bcf364b5322c699cd2a868af4/564x318_1"},"target":"_self","position":"9","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D5gZ9AzTnB0M","linkTemplate":"/video/preview/10306027739342829161?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group Theory || Theorem on External Direct Product of Groups || Direct Product || Abstract Algebra","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=5gZ9AzTnB0M\",\"src\":\"serp\",\"rvb\":\"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_P0O_gIA9PgIAQIE_gEWBgUC9gICAP8D__v5Bf4A9fcD__cAAAD8-wb8AgAAAO8A-P_xAAEAFAP7BgQAAAAO_PwG-wAAAPcP7wH_AQAA9QYCAgMAAAAEAv0EAAAAAP0G-fz5_gABDw4KAgEAAAAQ_QkEAAAAACAALdOk2js4E0AJSE5QAipzEAAaYNUSADkABiTPJEHRHvLGDgDpHQrx5vn_49cA7ifF3P3c7eMRCf87oQP9sAAAACEeyi_pAARuAdOtHBMy4gW32CRYf-sdJdHoGLHk6icLB9Dw7d0H_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-AACOvgAA-D0AAPg9AAAEPgAAgDsAAGy-AABHvwAARL4AAJg9AADePgAAfL4AAKY-AABsPgAAFL4AADA9AADYPQAAyD0AAHQ-AAALPwAAfz8AAPg9AACYPQAApr4AAHy-AACoPQAA4DwAAIq-AACuvgAAcD0AAKI-AACAuwAATL4AACw-AAAsPgAABD4AAIg9AAA0vgAATL4AAJg9AACKvgAAoDwAAMg9AACSPgAAqr4AAKC8AABEPgAAjr4AALi9AACSvgAALL4AALi9AACOPgAApj4AAIC7AACAuwAADz8AAJg9AABwPQAALD4AAJg9AACYPQAAmL0AANi9IAA4E0AJSHxQASqPAhABGoACAAAMvgAA2L0AALq-AAAJvwAA2L0AAJg9AACKPgAAqD0AABy-AADePgAAED0AAOA8AACYvQAANL4AADC9AADgPAAAML0AACU_AADoPQAAwj4AAHQ-AAAsPgAAEL0AANg9AABwvQAApj4AABQ-AAAMPgAA2L0AAOA8AADgPAAAML0AAOi9AAAkvgAALL4AABy-AAAcPgAAyL0AALK-AAAQvQAAHD4AADQ-AACGPgAAoLwAAKY-AAAwPQAAf78AAAy-AAAwPQAAPL4AACS-AACYPQAAcL0AAIA7AACyPgAAuD0AAIC7AADgPAAA4DwAAPg9AACIPQAAcD0AALi9AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=5gZ9AzTnB0M","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10306027739342829161"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11769905214447735074":{"videoId":"11769905214447735074","docid":"34-2-14-Z47EE1A1952E2F8A3","description":"(helpful for all aspirants preparing for IIT JAM / CSIR NET) To buy the complete course: / @tripbohemia Meaning of tripBohemia: https://tripbohemia.com/what-is-the-m... A must-read...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2048511/81f16cbde5220fb436ab5d5db180ec30/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/W_J4dgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DmjJODMfoPKo","linkTemplate":"/video/preview/11769905214447735074?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"External Direct Product | With Examples | Abstract Algebra","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mjJODMfoPKo\",\"src\":\"serp\",\"rvb\":\"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_hKCBCQBgAQrKosBEAEaeIH9_P0O_gIA_AALDvgJ_AIbBhD89QMDAPUF9f32Av8A8_0KCPsAAAABAwb9_wAAAO0A__v7AQAAGQXw_gMAAAAHDPkO_AAAAAYJAQr-AQAA7QgC-gIAAAAO_gEIAAAAAAAJ-ggAAAAADQgC_AEAAAAS-wAB_PT-ACAALdOk2js4E0AJSE5QAiqEAhAAGvABfwfcAaQf8_sSE_MA8PT0AaH7DP8tENAA7QD1Ab72CwDbBgkA5tfw_977DgDWHBAAzA30ADwMJADSBTT-HvMGAAb_DQAz8PwASf3g_wMyBv_2FuT_FAsEATPPHAAICP8DLPjnAO3n-f3v6xUB8wMVARcABP8BDiD-BhcQANv68f0LBOb98AL-A_UF4wEb_ygEJBcWAiEA6gIC_BQAGsL3Aw0W8v4CGvkBFAcDAyj6APz97u358gX-AwbeAf_49v0M-g39BgXy7QUBBwT2CP8C9vYXAQr9D_n9Khr1-OQKBf0L-f33DckT_RP0_APVA__-IAAtuLEzOzgTQAlIYVACKnMQABpgKwoAOwgiEs8RZdEU6tIM5PIX9RHkHf_i1f_uDsDdGv_itPUfADi76vamAAAAIgS-Pf8AH3_h7tIM9wvw-KDTHhZqBSMywQoK5dHtHve4zMX2BzcPAN3Fq0Qx3MdHFjsXIAAtp2kaOzgTQAlIb1ACKq8GEAwaoAYAABzCAADAQQAA0EEAAKjBAACgQAAAiEEAAOBAAACMwgAA4MEAAGBBAAA0wgAAuMEAAFDCAACwwQAAKEIAAJrCAABAQAAA4EAAAFTCAABAwAAAhsIAAFBBAACgwAAAQEEAAABCAAAMwgAAZMIAABjCAAB0QgAASEIAAFDCAACAwAAAkMIAAKDBAABAQAAAJEIAAERCAADMQgAAeMIAACxCAACoQgAAUEEAAMhBAAAgwQAA2EEAAFBBAACcwgAANMIAAExCAABwwQAAoEEAAPhBAACQwQAAMEEAAIA_AACAPwAAeMIAANDBAACgwAAACEIAAMBAAACAQAAAsMEAADTCAABgwgAAoMIAAFBBAABkwgAAiMEAAPBBAABoQgAAPEIAAJjBAACAvwAAgEAAAM7CAAAEwgAAuEEAAIBCAADAQQAALMIAAEBBAACYwQAAgD8AAMBBAAAAwgAAQEIAACxCAAD4QQAA6MEAAEDAAADwQQAAwMEAAFjCAADAQQAAMMIAADBBAABgQgAAgMAAADjCAADIwQAAwEAAAIZCAACuwgAAAEAAAETCAADgwQAAoEAAAIC_AACAwAAAQEEAAIBBAABQQQAANMIAAIhBAAAcQgAA2EEAAPjBAABwwQAAIMIAAKDBAAA8QgAA0MEAAHBBAABgQQAAgL8AAJTCAACwwQAATMIAAJLCAACAvwAAPEIAABzCAACaQgAAAEIAANjBAADYQQAAQMEAAITCAACQwgAAwMEAALBBAAD4QQAA6MEAACxCAACAQQAAEMIAAHBCAAB0wgAAAEIAACDBAAAAQAAAGEIAANDBAADgwAAAgEAAALDBAABwwgAAqsIAAKBAAADIQQAAIMEAAJbCAACwQQAAaMIAAExCAABgQgAATEIAAIA_AAAAwAAAQMEAALjBAABgwQAA2EEAAGDBAAAgQQAAosIAAFBBAAAQQQAADEIAAODAAADIwQAAXEIAANDBAACKQgAAAMAAAITCAAD0QgAADEIAAOhBAADgwQAAKMIAAIhBAAAQwgAAksIAAChCAACCwgAAAMAAAHzCAAAAQCAAOBNACUh1UAEqjwIQABqAAgAAQDwAAKi9AAAQPQAAML0AAKg9AABAvAAAUD0AACm_AAA8vgAAuD0AANo-AABcvgAAJD4AALI-AABQvQAAML0AALi9AACIPQAARD4AADE_AAB_PwAAuD0AAKg9AACovQAAfL4AABS-AAC4PQAAdL4AAIa-AAAEPgAATD4AADA9AADovQAAiD0AAFw-AAAwvQAARD4AAJ6-AADCvgAAnj4AAN6-AAAkvgAAHD4AAHQ-AAA8vgAAqD0AABw-AABkvgAAoLwAAK6-AABsvgAAoDwAAK4-AAAJPwAALL4AAFA9AAAfPwAAiL0AADQ-AAA8PgAAiD0AAMY-AACAuwAA6L0gADgTQAlIfFABKo8CEAEagAIAAOC8AAAQvQAAbL4AAC-_AAA0vgAAiD0AABA9AABMPgAAgr4AAK4-AACAuwAADL4AAAS-AAA8vgAAUL0AAFC9AAD4vQAARz8AABQ-AACePgAAmD0AALi9AABQPQAAML0AAAS-AAAMPgAAuL0AAOA8AABwPQAAED0AAEA8AADgvAAAgLsAAOC8AABAPAAAbL4AAJo-AAC4vQAAhr4AAEA8AAAUPgAAcD0AABC9AACAuwAAQDwAAHw-AAB_vwAAVL4AAHC9AADIvQAAEL0AAOC8AADYPQAAmD0AAEw-AADgPAAA4DwAAJg9AAAMPgAA2D0AACw-AADoPQAAhr4AAOi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=mjJODMfoPKo","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["11769905214447735074"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1508251902"},"3604516649106902494":{"videoId":"3604516649106902494","docid":"34-7-16-ZB8D39253C632E123","description":"Subject: Chemistry Paper: Applications of Molecular Symmetry and Group theory Module: Direct product representation Content Writer...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4257431/467215fe34c927123d05cff19c28092e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ZO_xCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJFb4md5Q2gA","linkTemplate":"/video/preview/3604516649106902494?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Direct product representation","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JFb4md5Q2gA\",\"src\":\"serp\",\"rvb\":\"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_gIA-_4NBPoH_QIhCAgADAIDAPQGAv8HAv8A9QYGAQEAAADy9wYC_gAAAOYB8AD5AgAACQf7-QQAAAAH8AIEAQAAAP4G_gr_AQAA8A_4_QMAAAAQDf39_wAAAPoO_Pv_AAAAAhABCAAAAAAL9QUNAAAAACAALVog2Ds4E0AJSE5QAiqEAhAAGvABfwL6_9Xp4__EE-IA3TH9AIUKK__oJNL_sRcBAafP4QDsGd0AzvrG_yf-EgC4LB0BSffhAB3i_QA83PwAKvQbAMsEBQA_7PsBXQYeAP_y4f7YC_j_z_MFARjW0QMEJNn-CvIT-RT4vwEk9dADHugXAxjsOwAb-Qv-6-L1AeczIwT_4fYEEhQV__ny-vvXGyEC2_EFAwwqB_n67P0CEwL0B-4A9_opAuUCEN3rDOMMC_ni9gL4_AHmBAQHLf7R3OQF5u8Z-O3kEvkLChj0HgoRBtf6BAYJ7vUIHvoB_gDK-AHk-AEJzwEB_NwB_gjo_esEIAAt-MYROzgTQAlIYVACKs8HEAAawAe37Ni-XXepPLHUxLxfHhw981bdvOPEh73O3Ai9VWWEOl8OFr0glsI9CqMZvRAGnryz8HW-x9CWvEVkQDktCVA-1PhgPOZkGD1aLlu-6o-VPG5ikrxPeJG-ZxVMPanmi7oJayM-rCkfPaN5wDzBfr498vfBvRetbbxvsQy9VlsbvVI4zLxdqbK9wZwqvT0eRLznWs88y_QLvZH1Lz0YWh0-agdxu7SFEDz9gLw95YkWPYm3Cb2VZg69KZ2jvETbMTzikgM-h6OQPDgPTDwXy768erKwu2PCILz-BWe9wENsPTyZB7sQZgm9GWJLPSUi_Lz8w9Y9ZoCPO_vyF7zesO28m9UxPdn2LDws5UY9hk2uPGNQnjvSV5u93UhUPRr0LburVZC9kR7QPOaoSDwongM-rK1YvPHlzzuD_Mw9JVVAveyNEryqHka6gIGAPVTTZDwsYe09LYTLPWemLLs_fRo9vMbTPLhAgjvDCpy9STXHPCQpirvD7XU8ekmtvLnY_jv6_KQ6l9pcvUbRATxgZ4Q9-RG_vT1rEjxzWsG8Vb1BvfoOert80Ng70YH-u9pQ1rq2HI49kpexu0CZkDt4Ypa9L9XxvF3iBjtB2Ak9QliiveQ_IrosvTG9-ow1Pe0IrzpuIqk8jKZOPZtR1rty7I-8iZNAPU2wLDuGMAg9VadevexCvTrf-eU9TZSMu3kr4DrGcJC8fGkjPMDfmruL-qQ9uLlnPbGCRrsHkEY9h9iFveXvPbs4ucQ8buZGvKTzq7vVN3U9KxaPve6wyzmow0o9ZmfRvAS39bizvyK9-pDBPOOtHzka-FW7Lrxcve8-uThEb8y87GeWvZvM6jgAD7Y9TvJePU_UIDjxRmY9aH4QPEVlnrjp9q28JTv2vbm8zDikEb08KmmsOsZnZbg-vpM9kXWdvDBN8zfFNk68UKinOzoO2rgAVie9WLmhvNqNoTmCv4Q9PohOPQ5rRzin6TM-DWxavYSDFzrd81c9x1dRPQd6HzfvpI073vYuvd3mPLieopm8GkUAPTCNeDjzzMY95dODvWMJjzdybD28s51qPSiCtrd3PYe9pMPDPICvwjjx_Bq8P_mgPApelTibr209M-KdvFfmmzcmZme9TZzBPPI_CTgvphk-eDvMPPzmG7n2VFi9f8FuvFSyU7fVuX08jBMfvXFzMLUb9QC-fBQpPbYw9DjsA707fNQPvhf63Lgi_-w9NSkFPvN-W7g5oQu90RCEPeXT1bjhLYu9m3_LOuYACjgreJC9bAvqvOtsNbggADgTQAlIbVABKnMQABpgCvMAGPkWHOP6PN4f8tkS07IJ0hnd2__h2P_YJ8sb_PkCxwXiACvRBAqwAAAAEyTkL_0A9m6-68AU3y4I4LXvBh9_2hYb19w18sEREu3_yCIw7DgrAA7ftScV5JgyDx0TIAAtxpAmOzgTQAlIb1ACKq8GEAwaoAYAAAAAAADAQQAAwEIAAGjCAADgwQAAIEEAADBCAACwwQAAssIAAJzCAAAAwQAAOEIAAFzCAAAEwgAAIEIAAMBAAACAQQAAaMIAAADAAACQwgAA2EEAAPBBAABQwQAAuEIAAERCAAAIwgAAmsIAAATCAACMQgAAMEIAACxCAACSQgAAEEEAAOBBAAAAwQAAwEEAAIDAAADYQQAAQEAAACBBAADIwQAAwEAAALjBAAAAwQAAHEIAAIA_AABkwgAA8MEAAO5CAAD4QQAAIMEAAKDBAADAQAAAyEEAAMBAAABwwQAAZMIAAGBBAACIwQAAsEEAAIBBAABAwQAAUMEAAIBBAADYQQAA8MEAAIRCAACgQAAAqMEAAEDAAAC4QQAA0EEAAHTCAABYQgAA4EAAAHjCAAA4wgAA2MEAAIhCAAAgwQAAFMIAACDBAABQQQAAAAAAABhCAAB8QgAAuMEAAIC_AAAAQgAAOMIAAIDAAADoQQAAoMAAAADBAACwwQAAnMIAAIDAAACIwQAA6EEAAOBAAACYwgAAmEIAALhBAABgwgAAAMIAAIDAAAAAwAAANEIAAJLCAABAQgAAIEEAABDBAAAswgAA6MEAAHhCAAAEQgAA0EEAABTCAABQQQAAqMEAAIDAAAAkwgAAIEEAAGDCAABgQgAAGMIAAJjBAADAwgAAUEEAAGTCAABUwgAAbMIAAADCAACCQgAAuEEAALDBAACQQQAAMMIAAMDBAABkwgAA4EEAAExCAAAQQgAAMEEAANjBAAAwwQAAYMEAANhBAAAQwgAAgL8AAMBAAACgQAAAUEIAALhBAACgwAAA0EEAABzCAADwwQAA2MEAAGxCAAAQwgAAkEEAADDBAACowQAAMEIAAGBCAACAQgAAFEIAAOBAAAAAwgAAnMIAALhBAADgQQAAuMEAABBCAABIQgAA0EEAAKBAAAC0QgAAmEIAAHDCAAA0wgAA2MEAAIBAAAAAwAAAmMIAAMTCAAAwQgAAkMEAAHDBAABAwAAAMEIAAADAAADoQQAA4MAAAFhCAACIQQAAUMEAAKDBAAC4wSAAOBNACUh1UAEqjwIQABqAAgAAmL0AAIC7AAAQPQAARD4AAIg9AABwvQAALL4AACu_AACovQAAij4AAN4-AABcvgAAFD4AAGw-AACKvgAAyD0AAHA9AAAQPQAAoj4AAA8_AAB_PwAALL4AAEC8AACIPQAA4DwAAOg9AAC4vQAAiL0AAJg9AACCPgAAFD4AAAy-AACIvQAA-D0AAEA8AAC4PQAAUL0AAMa-AABsvgAAMD0AAL6-AACgvAAAuj4AANg9AACivgAAmD0AAPg9AACqvgAAbL4AADC9AACovQAA6D0AAJo-AACoPQAAhr4AAKA8AAAbPwAA-D0AAI4-AAA0PgAAmD0AAII-AABAvAAAiL0gADgTQAlIfFABKo8CEAEagAIAAEC8AACAuwAApr4AABW_AAC4PQAABD4AAKg9AABAPAAA2L0AAIo-AACoPQAAEL0AAIi9AACivgAAJD4AAIA7AAAQPQAANz8AAMg9AADGPgAAML0AACQ-AABkPgAAQLwAABS-AACePgAAED0AAIg9AACIvQAA-L0AAHA9AADgPAAAQDwAABC9AAAMvgAAqL0AAHC9AACoPQAAPL4AAHC9AAB8PgAAFD4AAIA7AAAwvQAAoLwAAFw-AAB_vwAAwr4AAHA9AACAuwAA-L0AALi9AACAuwAAcD0AAJo-AAAwPQAAED0AAMi9AACYvQAAED0AABC9AABwPQAAFL4AAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=JFb4md5Q2gA","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3604516649106902494"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3483524181"},"4160721360614724528":{"videoId":"4160721360614724528","docid":"34-9-6-Z73B4D7EE6454AE1F","description":"This lecture contains External Direct Product and Internal Direct Product of Groups(Here Subgroup must be Normal and HK=G and H intersection K={e}). It also contains properties of the Cartesian...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2845844/9c2ea8c72821711366f88006eef6ffb8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/z6EJOwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQr6e9B0QLfY","linkTemplate":"/video/preview/4160721360614724528?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lec - 40 Cartesian Product of Groups or Direct Product of Groups | IIT JAM | CSIR UGC NET | GATE MA","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Qr6e9B0QLfY\",\"src\":\"serp\",\"rvb\":\"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-AED_wEA8v0J_g0D_gEFEAgJ9wD_APMJCPv3Af8A7vwA9PkAAAD1DwgA-wAAAO35__T2AAAAEAoNAPUAAAASCPf99gAAAP0C9gT-AQAA7wEG_wMAAAAPAAj7_wAAAAcN_wD5_wABCgAAAQAAAAD58g77AAAAACAALZAr1zs4E0AJSE5QAiqEAhAAGvABfw0n_7773_-89MsA1Tv8_7cmGAD8QMcAgdUWA6wE2gDZ-gX_0vTs_xf4Cf_QJvoAHsza_-P09v8qsfT-EMraAPD75gEXuQMAVuwl_ykBBv3SEyL-4sMVAfTRx_4KDsb-BM4G_xP38PwN5agLJeMcAxAKNgUBFjD86dc2_eL08gLA1L_6LgT9Bdm89Pq6_icB683i_PD1-PbIDRUE6uQB_P3sB_L5Sd75E9bnD_7v9Ai0DwQK8eTcCxBIAf7N9PHz-uQe_bPE9vUNygoGIsbuBegQ6Pggx_YWOPIM-Qf-Awbp1QD04yQBAegN5QjbBf8DIAAt3JTvOjgTQAlIYVACKs8HEAAawAeyDse-51kkPN8Kl7y9OgU71gQMvZVw17zvLXY8GUeLPebqR7xvLh4-LeCvvGEVlLwU6DO---_cPFnThrzLgDM-5tGIvZhiMzyG4wm-3yD1PKwBKr3xhN69gB-fPLdBDjz2czS9f76tvEY54rqIZXM9pWqbvXACmToJzKm9VMMDvWjDK7zwVQY9zYR1veY1wLzEHbU7JCVdvTU_o7w1nRm8pjiovVcbCryNXo090rDzPAOgArzWMTO9jVL4PDQ_yLx4Y9y8Ij8xPQZdazoumdm8f_h5PBHC4LjfCQy9zylQObaOHrz3JuE8XYaUPfC18bx5KoY9RQcpvQqQF71-xQq-TyAMvaJG3ztGCuU9o5YgPFPN7jsdPd69vsAMPrsIC7pz2P08SfaEOeXHKbxlzaM8fMKnu4O5AryZ4mA8Nek7PTmfEzz9cbE8eES1PbVXejzTwmA9quQtO5y3nLs_fRo9vMbTPLhAgjvo7gQ9Fa0MPjoNizulQ0w8IBqXPYUc4ztZo969cze-PK8mS7qblQi9CHYMvs2l4buV3Dy9PPHBvUPp5rtjL589Jv-jPbhiNbxbPpc9-KTDvajUOrt_I2s9wb7nPHDZVzxB2Ak9QliiveQ_IrqYfH29HsZkPd1QArxmHr-9hS1sPWoxW7tzB1s9A1PHPXIMwTmnPeW864wPviXevbfvgL47AdKYvcm2Y7tjhZU7f5aIPTC_kTl3XhQ9faH2PFgRwbrkNWq9GWayPFAeODnMYbe84y1cvRLwgjf-DD8-ySKtvU2wj7iq8Eq79H7tO5lkoroqRWG9alyOPYdkK7gC7yk9zRm2vJ0lFThUG_y9Yrv7vRPT8jkZoem8lDsCPbRd0blFjTg9wWwHPQrSHjkvUPK9qFycvUOAv7fMzZw9OVBWPTfsXbgWIyE9cFvAPD9gEjkh7oU898-ePTZfoboPFgS9XHgaPMyuXbiIUAC9rsLeu7QDWri-58Y9AB2mvWpDhjmri7W9PXZcPfjOATnroaI8FrNvvG0w_bgIm_A8uf3SPUdpZTjNmSg9_BxfvV2ArzaoF507IhXrPAerfraVEp28hmE2PYN52TgHsbO8gUEQO2ryZDedcKU82ZcMvSMJd7iEG1-82hU_PSRUDjj3ASg-cGHdvfFnv7nvfbC9ZIpDvRQuQbjTyz495zniva1qWjitJEO9DHNHPR7BFje4cwE9zCuCvS9mdLjK9HA9IuErPvHLijg8Kfq7VSptPeAyjbh-J8y9LLyLPckpwTjiH9a9nKy8PbSx57QgADgTQAlIbVABKnMQABpg_fMAR_MlDrgLKeMItfoF5bsNyvi28v_v4v_oK9oDCuzr5iQd_znuC8WiAAAAHPTMAc8A_n_lz-YZBiMGspTvHmBs5CZIqcYg4-gKOy717ucmA-dSAMb4pRYs8t4DKyr9IAAtxZ4XOzgTQAlIb1ACKq8GEAwaoAYAAADAAAAQwgAAZEIAAEDBAADAQAAAIEEAAM5CAADAQAAARMIAAAAAAACAQAAAkEEAAIA_AACIwQAAsEEAABRCAADwwQAAaMIAAKBBAADwwQAAoEEAALDBAACwQQAAWMIAANhBAAAMwgAAUMEAAODCAADAQAAASEIAADTCAABMQgAAMMEAAOjBAADKwgAATEIAANBBAADIQgAAAAAAAIBBAACQQQAAUEEAAABAAABAQAAAlEIAAFzCAACAQAAAREIAABBBAAD4QQAAwMEAANhBAACYwQAAAMEAAKhBAAAsQgAApsIAAJjBAACIwQAADEIAAFBBAACYwgAAoMEAAFTCAADIQQAA-MIAAKDBAAAMwgAARMIAANDBAACqQgAAgEEAAAAAAACAQAAASMIAAN7CAACgQQAAUMIAAJBCAABwQQAAdMIAANRCAAAAAAAAQMEAALhBAACYwQAAUEIAADBBAABQQQAAuMEAALhBAABYQgAALMIAAJjBAAA0QgAAssIAAOBBAAAAwgAAAEAAAERCAAAMwgAAMMEAAGBBAAAUwgAAwMEAAOBAAAC4QQAA4EAAAHjCAABAwAAA2EEAAJhBAAAAQAAAWEIAAIA_AAC4QQAAyEEAAGTCAACiwgAAPMIAAKBAAAA8wgAA4MAAABBCAABwQQAAmMEAADDBAAAQwgAAgMEAAABBAABAwgAAgMEAACDCAAAgQQAAoMEAAPBBAAA0QgAAqMIAAIDAAAB0wgAAgEEAAMDAAAAgQgAAwMEAAMhBAACAQQAATMIAAIBAAAAgQgAAEEEAACDBAAAAQAAAAAAAAAhCAABAwAAAcEEAAMjBAAAwwQAAPMIAAJjBAABQwQAAEEEAAFDCAACAvwAAQMIAABBCAAAQQQAApEIAAJhCAACwwQAAgD8AALhBAADgQAAAgMIAAETCAAAQwQAACMIAACzCAADgQAAAAEEAAPjBAACIwQAAPMIAAFBBAACAQAAAQMEAALzCAADgwQAABEIAADRCAAAgwgAAOMIAAEBCAAAswgAAAMAAAEBCAAAQQQAAuMEAAPBBAACAQCAAOBNACUh1UAEqjwIQABqAAgAAJL4AABy-AABEPgAAMD0AAIA7AADgPAAA4LwAANK-AACovQAAmD0AABw-AABwvQAAJD4AAPg9AACAuwAAED0AAIg9AABQPQAAZD4AAMo-AAB_PwAATD4AAOA8AAAwPQAAMD0AAIC7AADIvQAAqL0AAIA7AABcPgAAED0AAKA8AAC4vQAAqD0AAHw-AAAEPgAAoDwAAOi9AACWvgAA-L0AAJK-AACgvAAA6D0AAIC7AABEvgAAiL0AAOg9AAAQvQAAqL0AAGS-AABAPAAADD4AAKI-AACKPgAAZL4AADC9AAD6PgAAqD0AAFQ-AABcPgAAND4AAFA9AACAOwAAoLwgADgTQAlIfFABKo8CEAEagAIAACy-AAAwvQAAnr4AAA2_AAAcvgAAoLwAALo-AABwvQAAXL4AAO4-AACAOwAAcL0AABy-AABkvgAAQLwAAEA8AACIvQAADT8AAIg9AADGPgAATD4AAFQ-AACKvgAATD4AAEC8AAAkPgAABD4AAAQ-AAAEvgAA6L0AAOC8AABwPQAAcL0AAFy-AACKvgAA2L0AAIo-AACAuwAAor4AABy-AACAOwAAXD4AANg9AAC4vQAA2j4AABC9AAB_vwAABL4AAPg9AABUvgAAmL0AAIA7AABwvQAAoLwAAJg9AADYPQAAQLwAABQ-AADgPAAAgj4AAJg9AADgPAAAoLwAAEA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Qr6e9B0QLfY","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1014,"cheight":720,"cratio":1.40833,"dups":["4160721360614724528"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3576158301"},"13320350301219739754":{"videoId":"13320350301219739754","docid":"34-2-14-ZCC90A50C6669C1D3","description":"The external direct product ℤ2 ⊕ ℤ2 (also written as a Cartesian product ℤ2 x ℤ2) is a non-cyclic group of order 4. We list the elements and make the Cayley table to see that all the non-identity...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1714005/d3107cb62fcdaf4c59af8101a70d1673/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/pPEWMQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvKNsLpKhb-Y","linkTemplate":"/video/preview/13320350301219739754?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"External Direct Product of Groups Example: Is ℤ2 ℤ2 a Cyclic Group?","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vKNsLpKhb-Y\",\"src\":\"serp\",\"rvb\":\"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_Q7-AgD8ABAFBwf8ARYGBQL2AgIA8QEC_P4BAAD18An8_gAAAPcECfz_AAAA7wD4__EAAQAMAQkOBAAAABIEBvn4AAAAAQbvCwABAADlBQb1AgAAAAX-AwQAAAAA-g78-_8AAAAMD_8CAQAAAAj-BAYAAAAAIAAt06TaOzgTQAlITlACKoQCEAAa8AFx-A7_1vv5_83y-AD3H90BgSIK_hAV1ACv-xoBwAPjANQO5QDfA-sAAvUKAOMQM_8bAccAA8sU_xDF5_39APsA1hb1ARPdFwFS_PwBHfLkAccOCwH-ABgBHOfnABkZ3wAk_SL_9inH_grsvQgX5yoCDAgpA_QxAgLx6QwB8hceAc_ezvsZDgcEDwD8AMr-HQEaHvoK5yT2-frdAwgA9_oHBvL8-Qsk8PUe8-IFByj0A9Pu-Pgm7vcAFB8h_urm-PPqEw325-8M_AYP_wgS0Pz1Bfvv_RPw_f8gA-cF9toA_Of6Avfa_vcF3OYDAgvt-wcgAC3_IR07OBNACUhhUAIqzwcQABrAB9eF575EvDq9CqGkO8ldXz2wQmC9eMnJvJn1gj1I8qY8GmiEOyCWwj0Koxm9EAaevJfHqr4Tx-w7vhGdvC0LVj6wily9QS0mvYbjCb7fIPU8rAEqvRUcTr6sTcg8NZcfO_fznD0C9Du9S2EUvdLrBT1mg8y81SICvYVgdb0bFl69gX46vBtGAb5iLY69RusoO_eSRrxSc8O9LxOoO4U4gD1v3rS6rtcUvWWxwzyo_6w8aeTzvPEPe72-Ghs9dNi3unVmLD2mi8M8_3SoPGX7Vb2bvJK8aUb1vB-hpLtWJiE9ZoaqOwplAb7zI7k9kXWdvOenGD2Ad7y8lX-tvEz6G72z6a07Yc2Wu2YwZj0Lypk984GTvBRHGjxW8Js9lfL3O6QDqzvGeQ496UdDvDhoPz6H1i88-Kc3OwOY8j0Tysw8XFnivEFcPbtr1MM9xBsCPAcp2D3_WfO8oImwvLLLgTxqBIE9yQyKvH7dLr0pp0c9d0l_O3t90jxXLHk9XS4HO0afqrw3zGk7QbCPPAUjpT3WAju-SeWaOuKH1LyDiIS9gFG4O7BuIb3Hd_O8jY1tuxWQVj2_Xpa93UPCuy8yojsUFPW8GPaLO8M-mz0TjzW9JSQSPLQzljwuxM88X7djvCkgzb1ciBs8Zu7Gu_WftTspM688tbDAuv5ByTxbDI69Hd9mOx77Ob0QXlY9SSe3Ol1pvjzEln694LclulGX1jzl0W29oBpMuypZKbybVFS9bx3SO21Ybr05EZg8D-NBOeQpMD2lVg698dgNOw0WszwIfIk93Kn4ONFKEL1sMEO8_2uwOSk1hbwkH8W9yBgwOfyzVb13PbK9hRswuMfmlTuRL7w8RXyKOk_wKD25A1C9t1vst2sewb3ErqK9WfgiOPskUrzewVm9DXI2N0FLor0ZTfi87Pu-uI7-vLwURs48NYfGt1QIP707bZE7QfqDOLWNej3IoaQ9LdQBOEyoAD3H8J29_u4wOXklN7hUZB49nqiSOFrG_LypUFg9KtoEtfZHMz2mNHE9Cu2xuFJIz7s-PKu9T7LkOBFMmryj0oM9Ix8MOEXLi713YRK86NQ7tgDKujyAF4w9eEuCOHL_nD13O7E8qBfANVqd3L31wEI9vBr9NzvanT1ZUUO9cZXTuIXeTL1UqI696srDuGItPr3sT0K-2EzROE03JL2Nu8w9rO4ON0n3jjytUMS9c5zyuCL_7D01KQU-835buDmhC73REIQ95dPVuG4Djb0naa49v_cWN1KajTyZJQk8wWdLNyAAOBNACUhtUAEqcxAAGmAPAgBB-TYcEiMf8hDV_w7X7v_Z890S__HQ_wkd7Prs8uHnEv3_JbMZ0KIAAAAuEJYQ9gAVf-nU9DAaDxfMsMMbSW_rTC-S1zzW6_1JFfLD_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-MEAANDCAABwwQAAOMIAAADBAACCwgAAJMIAACjCAABkwgAAKMIAAPjBAAAQQQAAAAAAAIpCAACswgAAYEIAAIC_AACAPwAAiMEAAI7CAAAAAAAA4EAAAJBBAAAowgAAEEIAAPBBAACQwQAAOEIAAODBAAAwQQAAQMIAACxCAABMQgAAiMEAACDBAABwwQAAoMAAAGzCAAAEwgAACEIAAPjBAACwQQAAgL8AAGTCAADIQQAAZEIAACBCAABAQgAAgD8AABDBAAAQwQAAuEEAAMBAAAAcwgAANMIAAGBBAABQwQAAmMEAAERCAACKQgAAksIAANjBAABgwQAAAMEAAIJCAAAEwgAAAMIAAMDBAACAQQAAPEIAAODAAADAQAAAHEIAAABAAACgQQAAWEIAAIjBAABAQAAAkMEAACzCIAA4E0AJSHVQASqPAhAAGoACAAA0vgAAJL4AAAw-AABMPgAAqL0AAOA8AAAQvQAADb8AAFS-AADIPQAAHD4AAAy-AAB8PgAATD4AAKi9AABQPQAAcD0AAFA9AACCPgAA3j4AAH8_AAAEPgAAcD0AAIa-AABQvQAAND4AAMi9AADIvQAA1r4AAKA8AAAsPgAAiD0AAIK-AAC4PQAAFD4AAHA9AAAsPgAAQLwAAI6-AAA8vgAA6L0AAJg9AAD4PQAAbD4AAHS-AACIvQAAJD4AALi9AADgvAAAgr4AAOi9AADgPAAAbD4AABw-AAAwvQAAMD0AAPY-AAAUPgAAgj4AAHQ-AABQPQAA4DwAADC9AABAvCAAOBNACUh8UAEqjwIQARqAAgAAUL0AAAy-AADSvgAAEb8AAJK-AAA0PgAAxj4AAJg9AAB8vgAAEz8AAMg9AACgvAAAEL0AAJi9AAAcvgAAuD0AAAQ-AAAVPwAA6D0AAM4-AABUPgAAXD4AAIi9AABwPQAAJL4AAN4-AAAwPQAAUD0AAES-AACYPQAAMD0AAIC7AABkvgAAVL4AAFy-AABwvQAAhj4AAPi9AACevgAAfL4AAOg9AACiPgAAHD4AAOA8AACyPgAAlj4AAH-_AAA8vgAAoDwAAIa-AABwPQAABD4AAEC8AAAkPgAARD4AAOg9AACgPAAAEL0AAAQ-AADYPQAADD4AAOC8AABEvgAA-L0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=vKNsLpKhb-Y","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1152,"cheight":720,"cratio":1.6,"dups":["13320350301219739754"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"581737088"},"5648364508964798198":{"videoId":"5648364508964798198","docid":"34-6-2-Z2DA82CB2FC1AC8D1","description":"1. (i) Abstract Algebra 250 MCQs with Solution. Buy link https://imojo.in/1n86goh 5. Kerala PSC HSST Mathematics pyq solution download link ht...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1521972/ef12c9efcafac66bbc45dcd3c5706815/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vJTr9QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrX0zcKckPTU","linkTemplate":"/video/preview/5648364508964798198?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"direct product of groups number of elements of order n Z15xZ5 direct product gate 2019 group theory","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rX0zcKckPTU\",\"src\":\"serp\",\"rvb\":\"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_E90BggQkAYAEKyqLARABGniBCPwEDP4CAPD6C__7AgABBRAICPcA_wDxAQL8_gEAAPv5CvoBAAAA_gsHAgAAAAADAfkF8_4BAPwHAQDwAP8AFgX98fwAAAAAF_YH_gAAAOgB_QADAAAABQr8Af8AAAAABAP3_P8AAAIQAQgAAAAAC_8F_gAAAAAgAC0tado7OBNACUhOUAIqhAIQABrwAX8RE_7WHQUA09PW_8dF6gGECiz_EhbQALfwCwG96d4Bxx75AM4NDf_gAD8Ayy_-_x0BwgAgyQgBPNv8AA8Y-QD9Ch8BOcgRAUYDF__w8ur-3SUT_-L05QAVv-sADhry_uHnBwPx_OH61_TTACb7LwEo-ggHFg0mBO_nDQHn9vQC2NDj_ggIEQgN4yL86AgnARjs8PwBFgL5zTTfBBfi__4O6gr9DhPPACrWEAIY1wkFwAnsADAp7AcmDAb_-vMQ_uYaI_7l_AX_7A32BRPL_PT8F-j6G_T0DCsT9g0C2Pjy9-cCAPMZ-xXZAw4K3wj07CAALR1GEDs4E0AJSGFQAirPBxAAGsAHY0Pvvg_Bp7zTgIM7Zk4Hvv4qn7uC-KW8PIs5vXIbCD3HgR46_g3aPV8tUjyc9OO8nE2Xvuo9XLlkjxa8y4AzPubRiL2YYjM8huMJvt8g9TysASq9_FQlvjHZLrwHc-Y39_OcPQL0O71LYRS9qcHUPeqoNDztSqa8DXgPvf4tXLxbLu25-Ua5vVOXnL1lmt-8YolCPf6AxzyyP9o8eCU5PqIRCTx2cgC89SVAPIe_prygbIq8phCDvR8AJz0zG_-8D_yOPfyMKz3fIPU8nIS5O347ybzqq1C8-SlTvQQDCDxvuXo8ByRhPDHQtTwApjG8u7upPZIkiL1yKFm6-aAHvvQamz0vgYA7qPwLPqWDlT0kjoa8Ka5KvZUgrTwvdni6UocPPFATorygbIq8TxTyPMQtuDtdmqo76O6EvMclcz3pri06_XGxPHhEtT21V3o89PNQPdPAD727kq68lz0kPUEr8jtPwpa76fDQvWx6MD3p85G8oL66PT1Ze7yaoac8bV0lPUiVNz2BfGQ8yVNbPQCAjb2oMFs8ldw8vTzxwb1D6ea7HW3BPTlpED0uBX-8EiIvPeT-Pr06eZG7KHbZvFcIq700iIu7gqtcPS9NkbwBw3I8IyuEvQf0nT1ywAO6biKpPIymTj2bUda7RYCTPE8wLT1t7bM7anqaPOQJTr2CxPo7ow3GPZavyzpgbr0749GMPS4xYLzbCaM78WhjPfZuYr3Btym6acw_vdBjNL3Ij526xxFLvSBOlrzX6Au7H6LRPVj4H7150Yo4mbU5PIt8Sbs86VW6Cr9PvSYe0D2AIzm5_o4yvUxREbwxQUE5vsXgO6xTFb6mjMk52oa2vPAUsryil9W6tPCruzN1eTryqYw5BiRGvcNXtb0IyF03R_govJBe3jxuXZa4hXB2PVF2ST1mV4Q4AfKpOqZkFL3j5Nk47Ak8vXIl8bzWYoA53v8nPZoTmj0Z2xS5EaBQPbpJnL2osHk53fNXPcdXUT0Heh83F4V4PSe85D3ojjK3wVifPQsZnj29GSM4UkjPuz48q71PsuQ4D1Q3PfGC6D3pQYI3ZVPOvcLoqDz-Mug30GE-vD5WVb0teEa4AXuWPZbz_zvmDeU3DqY8PDoC2bviNkE4DZ6jPU7I2Lx2H7-4ClwIveLDkb08pVi4IY1Pve6CfL1GFY645js4vagtfz3KEMiyoEWAvTaRmb2-B_e3yvRwPSLhKz7xy4o4_wp0PRjAmj1PdHE3K6advVjywrzwqKW3LqSYvX27W7yQ5Se4IAA4E0AJSG1QASpzEAAaYBP0AEzLLOQA_R7WL8jfEwHEFwAOwfz_AuL_vQbTAtL-ztL77P9b5hb5ogAAADIqxhPLAPh_3dTeENFE8vWUwQ4gS_E6KrPIGf_e7VMc2N7nFf4aEAD636YqPhjvPwoEASAALbsAHDs4E0AJSG9QAiqvBhAMGqAGAABEQgAAAMAAAODAAADYwQAAoEEAAMhBAADQQQAA6MEAACDBAACAQQAAMEEAACDCAACYwQAABMIAAKBAAAAQQgAA-EEAACzCAAAgQQAAiMIAAFDBAAAAwAAAoMAAADBCAAAwQQAAGMIAALLCAABIwgAAikIAAIDAAAAkwgAAQMEAABDCAACIQQAAoEAAAMBBAAAQwQAA_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_AAB8QgAAbMIAAIhBAACAQQAAuMEgADgTQAlIdVABKo8CEAAagAIAAKi9AABsvgAAhj4AAKg9AACoPQAAMD0AAGy-AAAnvwAAUD0AANg9AABcPgAAuL0AAHQ-AACePgAAPL4AAJg9AAAMPgAAmD0AAHQ-AACuPgAAfz8AABA9AAAwPQAAgDsAABS-AABQvQAAcD0AAAS-AADYvQAAJD4AANg9AAAQvQAAZL4AAKg9AABsPgAATD4AACw-AADIvQAA-L0AALi9AAD4vQAAQLwAAJg9AABcPgAAPL4AABA9AAAsPgAAmL0AAPi9AACWvgAA4DwAAMg9AAAsPgAAHD4AADS-AACgvAAABz8AALg9AADgPAAAZD4AAKg9AACIPQAAML0AABC9IAA4E0AJSHxQASqPAhABGoACAAB0vgAABL4AALK-AAAVvwAAVL4AALi9AACqPgAADL4AANi9AADuPgAAgLsAAIC7AADgvAAA2L0AADA9AADgvAAAML0AACc_AAC4PQAAAT8AAAw-AAAQPQAAJL4AAEQ-AADgvAAAhj4AAGQ-AAAMPgAAoLwAAHC9AABQvQAAQDwAAJi9AABMvgAABL4AADC9AACKPgAAqL0AAIK-AAAwvQAAQDwAAFQ-AADIPQAAUL0AAJ4-AABQvQAAf78AAFS-AAD4vQAAbL4AACS-AADgPAAAyL0AAMg9AAC4PQAA6D0AAIA7AABUPgAAMD0AADw-AAAUPgAAUD0AAKA8AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=rX0zcKckPTU","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5648364508964798198"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1499868679"},"2146742279819887781":{"videoId":"2146742279819887781","docid":"34-9-11-ZF73089492CA7849E","description":"✨ Welcome to the world of Group Theory! ✨ I’m Dr. Upasana Taneja, and on this channel, I share in-depth explanations of higher mathematics topics like Modern Algebra, Real Analysis, Complex...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/909041/37bfda4f19f498161c4b15f30e6d85a0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/19qskwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGW4wfrDNi-o","linkTemplate":"/video/preview/2146742279819887781?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"External Direct Product Full Concept in 1 Video","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=GW4wfrDNi-o\",\"src\":\"serp\",\"rvb\":\"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_E8IIggQkAYAEKyqLARABGniB_fz9Dv4CAPf7FP39BP8BH_sG9fUDAwDtBwcAAf8AAPUDAQIHAAAAAgL59wgAAADzA_f6_AAAAA0G9QMEAAAAAAL___sAAAD4CfwECAAAAO4MAgMDAAAAAAMCAf8AAAD6C_gC_gAAAAUCBwgAAAAAEfX-_QABAAAgAC3TpNo7OBNACUhOUAIqhAIQABrwAXsC-v_W6uT_6-7LAb7VDgGtDBv_Kv_XAIETLwCh9OcA_hf0APLg8AEPyBb_-xAoABwjzP_cxA0ALPzw_z01AP8HMxwA5usJATbREAASEdoBBwzi_iIDGQAf9_MDDQAA_CIbHwDRKPD__-bLAAv0If8f7CUC9OUK_vsHGAW-NRECCvDXAA8U_f7e8vMA2BogAuvvEf7Z8wYA-94O-vMi5PsYxvD6-fbYAgLu-QDq6vYF6hL_COb59P8H6CkH5wsTBBH4HQkE7Pz0KQwRCRvf_gHyEPzw8PID_ikS9w354_EDDff89vUcFgPUC_0T0NP7DiAALSvMFjs4E0AJSGFQAipzEAAaYBYIAC7qHQvZFyDnGQDjFgT8Gen56uL_CLkA8gvr_Pnp7dIF6_9kwvrpsAAAABwTzCXwAAhq5wivR_BQ_Pu-5Aw4f_0WMd3ASert7SQS9QYDL_gxEwD0AbEiLO_cG0QWCiAALdx6LDs4E0AJSG9QAiqvBhAMGqAGAADQQQAA0EEAACRCAACowQAASEIAAMBAAAAQQgAAkEEAAGDCAABAQQAAQEEAAAjCAABUwgAAEMEAAIBCAACcwgAAgL8AAAzCAAAQQQAAYMIAAIC_AAAQwgAAJMIAAIhBAAAQwQAAGMIAACTCAADgwAAAIEEAALBBAAAgwQAAFEIAAETCAACUQgAAMMEAAPjBAADgwAAA_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-AAD2vgAAEL0AAFC9AABAvAAAFL4AAAw-AAAsPgAAZL4AADQ-AAAMPgAA6D0AADw-AAABPwAAfz8AAIg9AAAsPgAAZL4AABC9AACAuwAAoDwAAEA8AAA8vgAAND4AAII-AAAQvQAAMD0AAKA8AAC4PQAAlj4AACQ-AACSvgAAxr4AAJi9AACOvgAA-L0AAJY-AABEPgAAPL4AAFC9AACIPQAAoDwAACy-AADovQAAiL0AAOi9AABcPgAArj4AAMi9AAAQPQAAGT8AAPg9AAAcPgAAgDsAACQ-AAC4PQAAQDwAADy-IAA4E0AJSHxQASqPAhABGoACAAAwvQAAFL4AAPK-AAAPvwAAED0AAPg9AADGPgAA-D0AANi9AADWPgAAPD4AABC9AABUvgAArr4AAFC9AACYPQAAUD0AACs_AAA0PgAA0j4AABQ-AABUPgAA4DwAACw-AACgvAAA4j4AADQ-AAAUPgAARL4AABC9AACYPQAAoDwAAFy-AABQPQAAbL4AAJK-AABkPgAAhr4AANa-AACoPQAAmj4AACQ-AAAsPgAAuD0AAGw-AAAkPgAAf78AAKq-AAAQvQAAcL0AALK-AADoPQAAPL4AAKi9AADOPgAAyD0AAKC8AABwPQAAoDwAABQ-AAAQPQAAEL0AAK6-AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=GW4wfrDNi-o","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["2146742279819887781"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"175592782"},"2912474744799805638":{"videoId":"2912474744799805638","docid":"34-3-0-Z1B38EFABC94E4617","description":"#28 | Internal direct product | Group theory | csir net mathematics | gate mathematics course in this video, Mr.Maneesh Kumar will discuss the Internal Direct Product in Group Theory in detail.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3433466/cd6d9e0fae927db7b1a679b4c08612eb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/W_sLCQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-ag-r-5v57g","linkTemplate":"/video/preview/2912474744799805638?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"#28 | Internal direct product | Group theory | csir net mathematics | gate mathematics course","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-ag-r-5v57g\",\"src\":\"serp\",\"rvb\":\"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_E_YoggQkAYAEKyqLARABGniBAQP9AvsFAPX-CgsCBv0BDv4GAvcAAAAACfr1-AP-APv0__0DAAAAAgf_Af0AAAD1BQMI_AAAAAQC7gYCAAAAGAL9APgAAAANF_sC_gEAAPb-AwQDAAAADf7_-P8AAAD8CAEA_P8AAAIQAQcAAAAAC_7-AQAAAAAgAC13W-M7OBNACUhOUAIqhAIQABrwAX8RE_7YDtwA2hLdAOgd-QG7BR7_KhbjAKDQ8wC29sUA4A4CAPHf8AHcCAv_zCMUABTYsgLa5OwBEeAZ_-sC_gD88vcAUeEOAnrs_QAiAQX-ywUd_wTeDQAr4NcCIhn1_iDwFPw1Kt3_JPXQAyb7LwEoISMFIAMY-8sAEv3tBPoCy9vK--4CDQIL3w_42_4KCBT-6wnnDe_3uiAQ_xHg6f8P1g38ChICBfD1_gXpOOUAwQwDCBIB3AH8JhwLHf_VAvjz9QLY3-b6K-MNC-_kE_n49Pr9-M7zDxLr8QH-_gn5GQL3AucCAQn4Dvn8Afby_SAALR1GEDs4E0AJSGFQAipzEAAaYBj2ACfyEObS8wr8Eq3O-uHkCqIPzfH_3uv_-yjQ9AcQ6eEZDf8huBjHqAAAABT25hgAANZz49PPN_AsB---ABovf-g0OcfTEOrwAj0MyfoDCdQHQwDv659FJDG5MC09OyAALfiCHjs4E0AJSG9QAiqvBhAMGqAGAAAwQQAAAAAAAGBCAABMwgAAqEEAAEDCAADQQQAAgD8AAIBAAACwQQAAEEEAADBBAADMwgAAAEAAAERCAAAUwgAAIMEAAGDBAADYQQAAmMEAAIC_AADwQQAAGMIAAL5CAADUQgAAEMEAAMDBAACQwgAAdEIAAIZCAACIQQAATEIAABDCAACgQAAA2MEAAHDBAAAwwgAA_kIAACDBAACoQQAAVEIAAIA_AACwQQAASMIAAExCAACAwAAAUMIAADBCAAAwQgAA2EEAACDBAACIQQAAbEIAALhBAAAIQgAAwMEAACTCAACAwQAAuMEAAABBAABkQgAA4EAAAJzCAACQQQAAHEIAABBCAADoQQAAuMIAADDCAAAAQQAAqEIAAOBAAACAwgAAsEIAAExCAAAAwwAAwEAAAGDBAADAQAAA4EAAADzCAAAAwAAAUEEAALJCAACAwQAATEIAAKBAAACAvwAAwMAAAJzCAAC4wQAA6EEAAODAAAAcwgAAoEAAAEDCAAAQwQAAMEIAAL5CAACAQAAAAAAAAGxCAAAEQgAAgMEAAEzCAACgwQAAJEIAACBCAAAIwgAAMEIAAHxCAAAQwQAAaMIAAMjBAACEQgAA-EEAACTCAABUwgAAAAAAABzCAAAwwQAAgMAAAODAAAD4wQAAaEIAAEBCAACAPwAAFMIAAKBBAACQwQAA0MEAAGDBAAAAwAAAFEIAAADBAAAgQQAAgEEAAIA_AABYwgAARMIAADDBAAAQwgAAIMEAAAAAAADgQAAA4EEAAAzCAAAIQgAAoEAAAGBBAACIwQAAQEEAAOBBAACwwQAAoEEAABhCAACYwQAAoMEAAOBAAADeQgAAisIAALhBAADwwQAAiMEAADBBAADAQQAAhkIAAPBBAAAcQgAAQMAAAJhBAADgQQAAgEAAAEDBAACgQAAAIEEAAGDBAAAcwgAAKEIAAPhBAAAYQgAAQMEAAIbCAACAQAAAUEIAAGTCAAC4wQAAcEEAAJbCAAD4QQAAoEAAABBBAACgQAAAAEAAADRCAABgQgAAgL8AAGBBAAA8wgAAUMEgADgTQAlIdVABKo8CEAAagAIAANa-AADmvgAAcD0AAAw-AAD4PQAAhj4AAMq-AABjvwAAyL0AAHA9AAB8PgAALL4AAIo-AACiPgAAFL4AADC9AACiPgAAqD0AAFQ-AABFPwAAfz8AAEC8AAD4PQAAqD0AAMi9AADIPQAA-D0AAOC8AABUvgAADD4AAMo-AAAsvgAA-L0AAFA9AACGPgAAvj4AAOi9AABEvgAApr4AADA9AADyvgAAUL0AAII-AACgPAAAjr4AAIA7AACaPgAAVL4AADS-AACOvgAAfL4AALa-AADiPgAACz8AAOi9AAAQvQAAfz8AALY-AADovQAADD4AAFw-AABMPgAAoLwAAOA8IAA4E0AJSHxQASqPAhABGoACAACOvgAA6L0AAGy-AAAdvwAAqL0AACw-AACqPgAAQDwAAOC8AACOPgAA4DwAAKi9AABQvQAAPL4AABA9AABwPQAAQDwAACs_AAAMPgAA7j4AAFw-AADoPQAAgLsAAHC9AACAOwAAZD4AAEQ-AABcPgAATL4AALi9AAAQPQAAQDwAAOC8AAAsvgAAyD0AAFS-AAC4PQAAgDsAALK-AAAcPgAAij4AAIC7AABkPgAAmL0AADA9AAAQvQAAf78AAAS-AACAuwAAmL0AAAy-AABQvQAApr4AAFA9AAATPwAA6D0AAKC8AADoPQAAoDwAANg9AACAOwAADL4AAKC8AAAkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=-ag-r-5v57g","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["2912474744799805638"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"6572675106947866445":{"videoId":"6572675106947866445","docid":"34-2-17-Z8BA2D7BF8C4DBD75","description":"In this lecture we will learn to calculate the combination of irreducible representation in direct product question from group theory chemistry. Important for csir net chemical science and Gate...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3823942/c7f005df6ee7f459e89014f91fd05888/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RBzONwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dmkj14vB5v9E","linkTemplate":"/video/preview/6572675106947866445?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Direct product | Group theory | Reducible representation","related_orig_text":"Direct Product","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Direct Product\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mkj14vB5v9E\",\"src\":\"serp\",\"rvb\":\"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_E4cEggQkAYAEKyqLARABGniB-wPzBwAAAPwAEAUHB_wBEAkL9PYBAQD0BgL_CAL_AOz4EPz9_wAA8vYGAv4AAADwD_b89QAAAAYE_QEEAAAADPD9__kAAAAAGPYH_gAAAPEE-v0DAAAADv7--P8AAAD8Av_uAAAAAPwbAwUAAAAAEP0JBQAAAAAgAC2aTNQ7OBNACUhOUAIqhAIQABrwAWT2BP_n8PoDwebI_9Yk5AGBIgr-_THVANTKEADb8NkA4vsE_-kUAgAa9Tv_7yQM_zfL9_8E-Q4AN978AAXrBQD48xgAHvPjACz8FwHy7AX-3Q4a_wjc_P_33NT_7gPh_-v_8P7Y5c8B4vflBRDZFv8JMxUB__kO_dza9wL4FvAE9_nJ_g3b7wceAPP5yv4dAQzp_QgsKB3-_hHtANHvBfvd-Q_4LxHmARHQA_8DCgoF2xcKAiIP-PgdKPYB2ff09vP3JALczwn3Ie7_ASa5DP32A_wDHgjrByr2CfsX9ewC8OLu9-kCAQgJ1_AO9Q30CSAALf8hHTs4E0AJSGFQAipzEAAaYAnrACsFI-cT3Cj8--7DD9nDEM_72f3_7Nr_6iu17fDf3a4M2QAuxR__oQAAACsj4wXmAPJ_1anaEwFC_NHA4Qgdag4XSYTCJwHx80YE59r-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-QgAAosIAABDBAADQQQAAAMAAAPDBAAAgwQAAiMEAAOjBAACowQAAwEAAANBBAADGwgAAoMIAAPDBAAAQwQAAiEEAAGzCAAAswgAAoMEAAIhBAAAkwgAAJEIAACzCAACAQAAAmEEAAMBBAAAIQgAAgMAAAChCAAAEQgAAQMIgADgTQAlIdVABKo8CEAAagAIAAKq-AACyvgAAJD4AABw-AADgvAAALD4AAKA8AAArvwAAir4AAKg9AACePgAAgLsAAGQ-AACaPgAADL4AABA9AADIPQAAMD0AAII-AAABPwAAfz8AAHy-AAA8PgAAEL0AAGS-AABEPgAAUD0AAFC9AAAwvQAAjj4AAIY-AABUvgAAnr4AAIo-AABsPgAAjj4AADC9AAB0vgAAgr4AAKA8AAB0vgAAoDwAAJo-AACIPQAA4r4AAEA8AAAsPgAATL4AABy-AACevgAAgr4AAFA9AACiPgAAMD0AANi9AACAuwAAKz8AACQ-AABcPgAAkj4AAAQ-AACAuwAAQLwAAJg9IAA4E0AJSHxQASqPAhABGoACAAA8vgAA6D0AADy-AAABvwAAoLwAAGw-AACaPgAAUL0AALi9AADWPgAAMD0AAOi9AAAQPQAAfL4AAJg9AACAOwAA6D0AAC8_AADIPQAA2j4AABQ-AAAUPgAALD4AAKC8AABAvAAAbD4AANg9AABEPgAAhr4AAFC9AAAwPQAAoDwAAOi9AAAQvQAAgDsAAGy-AAAQPQAAcD0AAKq-AACAuwAATD4AAAw-AAB0PgAAEL0AAJg9AADoPQAAf78AACS-AACIvQAAmD0AAEA8AABwPQAAuL0AANg9AADCPgAAMD0AAKA8AADgPAAAiL0AAHA9AAAQPQAA6D0AAIg9AACgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=mkj14vB5v9E","parent-reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6572675106947866445"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1346123943"}},"dups":{"10797965516157094726":{"videoId":"10797965516157094726","title":"Group Theory: \u0007[Direct\u0007] \u0007[Product\u0007] and its important features @Noblechemistry","cleanTitle":"Group Theory: Direct Product and its important features @Noblechemistry","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=VWrpdu_0xYo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/VWrpdu_0xYo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDS3oyenlYaWhVZXg5aVpxdm9MWlpHQQ==","name":"NOBLE CHEMISTRY","isVerified":false,"subscribersCount":0,"url":"/video/search?text=NOBLE+CHEMISTRY","origUrl":"http://www.youtube.com/@NOBLECHEMISTRY","a11yText":"NOBLE CHEMISTRY. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1776,"text":"29:36","a11yText":"Süre 29 dakika 36 saniye","shortText":"29 dk."},"views":{"text":"11,1bin","a11yText":"11,1 bin izleme"},"date":"6 nis 2022","modifyTime":1649203200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/VWrpdu_0xYo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=VWrpdu_0xYo","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":1776},"parentClipId":"10797965516157094726","href":"/preview/10797965516157094726?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/10797965516157094726?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"15403789192607408122":{"videoId":"15403789192607408122","title":"\u0007[Direct\u0007] \u0007[Products\u0007] of Groups (Abstract Algebra)","cleanTitle":"Direct Products of Groups (Abstract Algebra)","host":{"title":"YouTube","href":"http://www.youtube.com/v/rXLz8TdckWo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rXLz8TdckWo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDVzZUWE1aNVBxNnlMNl9rNU5aMmUwUQ==","name":"Socratica","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Socratica","origUrl":"http://www.youtube.com/@Socratica","a11yText":"Socratica. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":534,"text":"8:54","a11yText":"Süre 8 dakika 54 saniye","shortText":"8 dk."},"views":{"text":"222,5bin","a11yText":"222,5 bin izleme"},"date":"25 şub 2017","modifyTime":1487980800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rXLz8TdckWo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rXLz8TdckWo","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":534},"parentClipId":"15403789192607408122","href":"/preview/15403789192607408122?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/15403789192607408122?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"7148106225356276669":{"videoId":"7148106225356276669","title":"#27 | External \u0007[Direct\u0007] \u0007[Product\u0007] of Groups | \u0007[Direct\u0007] \u0007[product\u0007] of Groups | CSIR NET Maths ...","cleanTitle":"#27 | External Direct Product of Groups | Direct product of Groups | CSIR NET Maths Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=jhKy65DmYXw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/jhKy65DmYXw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSTNORzZscU1qeHk4UEZYdnlpQnFZQQ==","name":"SuccessTed","isVerified":false,"subscribersCount":0,"url":"/video/search?text=SuccessTed","origUrl":"http://www.youtube.com/@SuccessTed","a11yText":"SuccessTed. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4538,"text":"1:15:38","a11yText":"Süre 1 saat 15 dakika 38 saniye","shortText":"1 sa. 15 dk."},"views":{"text":"1bin","a11yText":"1 bin izleme"},"date":"22 nis 2020","modifyTime":1587562682000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/jhKy65DmYXw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=jhKy65DmYXw","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":4538},"parentClipId":"7148106225356276669","href":"/preview/7148106225356276669?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/7148106225356276669?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11391815728254511066":{"videoId":"11391815728254511066","title":"#26 | External \u0007[Direct\u0007] \u0007[Product\u0007] | group theory | \u0007[Direct\u0007] \u0007[product\u0007] | csir net mathematics...","cleanTitle":"#26 | External Direct Product | group theory | Direct product | csir net mathematics group theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=y-pop6ceqrk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/y-pop6ceqrk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSTNORzZscU1qeHk4UEZYdnlpQnFZQQ==","name":"SuccessTed","isVerified":false,"subscribersCount":0,"url":"/video/search?text=SuccessTed","origUrl":"http://www.youtube.com/@SuccessTed","a11yText":"SuccessTed. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4284,"text":"1:11:24","a11yText":"Süre 1 saat 11 dakika 24 saniye","shortText":"1 sa. 11 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"21 nis 2020","modifyTime":1587476307000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/y-pop6ceqrk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=y-pop6ceqrk","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":4284},"parentClipId":"11391815728254511066","href":"/preview/11391815728254511066?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/11391815728254511066?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"10313318034817448878":{"videoId":"10313318034817448878","title":"\u0007[Direct\u0007] \u0007[Product\u0007] Of Group Theory | External \u0007[Direct\u0007] \u0007[Product\u0007] |Abstract Algebra| Safiqul ...","cleanTitle":"Direct Product Of Group Theory | External Direct Product |Abstract Algebra| Safiqul Sir | Maths Hons","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7TPGUa87S1Y","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7TPGUa87S1Y?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbjd5U0gycXZURHZfYTlMdGgyMVF3QQ==","name":"SAFIQUL SIR MATHEMATICS","isVerified":false,"subscribersCount":0,"url":"/video/search?text=SAFIQUL+SIR+MATHEMATICS","origUrl":"http://www.youtube.com/@SAFIQULSIRMATHEMATICS","a11yText":"SAFIQUL SIR MATHEMATICS. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4573,"text":"1:16:13","a11yText":"Süre 1 saat 16 dakika 13 saniye","shortText":"1 sa. 16 dk."},"views":{"text":"2,3bin","a11yText":"2,3 bin izleme"},"date":"3 eki 2022","modifyTime":1664755200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7TPGUa87S1Y?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7TPGUa87S1Y","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":4573},"parentClipId":"10313318034817448878","href":"/preview/10313318034817448878?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/10313318034817448878?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"74560520140538655":{"videoId":"74560520140538655","title":"\u0007[Direct\u0007] \u0007[Product\u0007]: Part-1: Symmetry and Group Theory","cleanTitle":"Direct Product: Part-1: Symmetry and Group Theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=b55IGGQn6e8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/b55IGGQn6e8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDYXdsNmJLZ2FnOWJDeGxQTEJidWE4UQ==","name":"CHEMISTRY MUSIC AND MOTIVATION BY DR. R. S. DAVE","isVerified":false,"subscribersCount":0,"url":"/video/search?text=CHEMISTRY+MUSIC+AND+MOTIVATION+BY+DR.+R.+S.+DAVE","origUrl":"http://www.youtube.com/@dr.rsdavechemistry","a11yText":"CHEMISTRY MUSIC AND MOTIVATION BY DR. R. S. DAVE. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":674,"text":"11:14","a11yText":"Süre 11 dakika 14 saniye","shortText":"11 dk."},"date":"1 nis 2021","modifyTime":1617235200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/b55IGGQn6e8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=b55IGGQn6e8","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":674},"parentClipId":"74560520140538655","href":"/preview/74560520140538655?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/74560520140538655?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"8680222421437526490":{"videoId":"8680222421437526490","title":"\u0007[Direct\u0007] \u0007[products\u0007] of groups: a definition","cleanTitle":"Direct products of groups: a definition","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Je3VMleLgos","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Je3VMleLgos?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDN2xDelRJNVN2OGNXLWU2UVpxcEJfUQ==","name":"Michael Barrus","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Michael+Barrus","origUrl":"http://www.youtube.com/@michaelbarrus9935","a11yText":"Michael Barrus. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":849,"text":"14:09","a11yText":"Süre 14 dakika 9 saniye","shortText":"14 dk."},"views":{"text":"4,2bin","a11yText":"4,2 bin izleme"},"date":"14 nis 2020","modifyTime":1586822400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Je3VMleLgos?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Je3VMleLgos","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":849},"parentClipId":"8680222421437526490","href":"/preview/8680222421437526490?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/8680222421437526490?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3290330620783387275":{"videoId":"3290330620783387275","title":"Group Theory || \u0007[Direct\u0007] \u0007[Products\u0007] of Groups || External \u0007[Direct\u0007] \u0007[Product\u0007] of Groups || Ab...","cleanTitle":"Group Theory || Direct Products of Groups || External Direct Product of Groups || Abstract Algebra","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rwPdj-LDqIU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rwPdj-LDqIU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSXVxS0pjSm1RU2o2Q3hYNUZJbkNFUQ==","name":"eMaths Guru","isVerified":false,"subscribersCount":0,"url":"/video/search?text=eMaths+Guru","origUrl":"http://www.youtube.com/@eMathsGuru","a11yText":"eMaths Guru. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1499,"text":"24:59","a11yText":"Süre 24 dakika 59 saniye","shortText":"24 dk."},"views":{"text":"10,9bin","a11yText":"10,9 bin izleme"},"date":"17 mayıs 2021","modifyTime":1621209600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rwPdj-LDqIU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rwPdj-LDqIU","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":1499},"parentClipId":"3290330620783387275","href":"/preview/3290330620783387275?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/3290330620783387275?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"10306027739342829161":{"videoId":"10306027739342829161","title":"Group Theory || Theorem on External \u0007[Direct\u0007] \u0007[Product\u0007] of Groups || \u0007[Direct\u0007] \u0007[Product\u0007] || Ab...","cleanTitle":"Group Theory || Theorem on External Direct Product of Groups || Direct Product || Abstract Algebra","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=5gZ9AzTnB0M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/5gZ9AzTnB0M?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSXVxS0pjSm1RU2o2Q3hYNUZJbkNFUQ==","name":"eMaths Guru","isVerified":false,"subscribersCount":0,"url":"/video/search?text=eMaths+Guru","origUrl":"http://www.youtube.com/@eMathsGuru","a11yText":"eMaths Guru. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2405,"text":"40:05","a11yText":"Süre 40 dakika 5 saniye","shortText":"40 dk."},"views":{"text":"9,5bin","a11yText":"9,5 bin izleme"},"date":"18 mayıs 2021","modifyTime":1621296000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/5gZ9AzTnB0M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=5gZ9AzTnB0M","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":2405},"parentClipId":"10306027739342829161","href":"/preview/10306027739342829161?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/10306027739342829161?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11769905214447735074":{"videoId":"11769905214447735074","title":"External \u0007[Direct\u0007] \u0007[Product\u0007] | With Examples | Abstract Algebra","cleanTitle":"External Direct Product | With Examples | Abstract Algebra","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=mjJODMfoPKo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mjJODMfoPKo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSzh5LV9UNGdxRU9MZnlPeEwxOUY5Zw==","name":"tripBohemia Maths - by Ishika (IIT JAM | CSIR NET)","isVerified":false,"subscribersCount":0,"url":"/video/search?text=tripBohemia+Maths+-+by+Ishika+%28IIT+JAM+%7C+CSIR+NET%29","origUrl":"http://www.youtube.com/@tripBohemia","a11yText":"tripBohemia Maths - by Ishika (IIT JAM | CSIR NET). "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2430,"text":"40:30","a11yText":"Süre 40 dakika 30 saniye","shortText":"40 dk."},"views":{"text":"5,9bin","a11yText":"5,9 bin izleme"},"date":"6 mar 2021","modifyTime":1615023912000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mjJODMfoPKo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mjJODMfoPKo","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":2430},"parentClipId":"11769905214447735074","href":"/preview/11769905214447735074?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/11769905214447735074?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3604516649106902494":{"videoId":"3604516649106902494","title":"\u0007[Direct\u0007] \u0007[product\u0007] representation","cleanTitle":"Direct product representation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JFb4md5Q2gA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JFb4md5Q2gA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDQ1VyMDk2V0RwODZuNjJDWEJlSGxRdw==","name":"Vidya-mitra","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Vidya-mitra","origUrl":"http://www.youtube.com/@Vidyamitra","a11yText":"Vidya-mitra. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1635,"text":"27:15","a11yText":"Süre 27 dakika 15 saniye","shortText":"27 dk."},"views":{"text":"1,5bin","a11yText":"1,5 bin izleme"},"date":"10 haz 2015","modifyTime":1433894400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JFb4md5Q2gA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JFb4md5Q2gA","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":1635},"parentClipId":"3604516649106902494","href":"/preview/3604516649106902494?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/3604516649106902494?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4160721360614724528":{"videoId":"4160721360614724528","title":"Lec - 40 Cartesian \u0007[Product\u0007] of Groups or \u0007[Direct\u0007] \u0007[Product\u0007] of Groups | IIT JAM | CSIR UGC NE...","cleanTitle":"Lec - 40 Cartesian Product of Groups or Direct Product of Groups | IIT JAM | CSIR UGC NET | GATE MA","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Qr6e9B0QLfY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Qr6e9B0QLfY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaVlZSEdjeWJqRjNDU2prVXEwWGlFZw==","name":"Mathematical Science","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Science","origUrl":"http://www.youtube.com/@MathematicalScience","a11yText":"Mathematical Science. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":975,"text":"16:15","a11yText":"Süre 16 dakika 15 saniye","shortText":"16 dk."},"views":{"text":"7bin","a11yText":"7 bin izleme"},"date":"10 ara 2017","modifyTime":1512864000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Qr6e9B0QLfY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Qr6e9B0QLfY","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":975},"parentClipId":"4160721360614724528","href":"/preview/4160721360614724528?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/4160721360614724528?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"13320350301219739754":{"videoId":"13320350301219739754","title":"External \u0007[Direct\u0007] \u0007[Product\u0007] of Groups Example: Is ℤ2 ℤ2 a Cyclic Group?","cleanTitle":"External Direct Product of Groups Example: Is ℤ2 ℤ2 a Cyclic Group?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vKNsLpKhb-Y","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vKNsLpKhb-Y?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDekxJckNkdzh5QmNrbkVmNWt0Nmpudw==","name":"Bill Kinney","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Bill+Kinney","origUrl":"http://www.youtube.com/@billkinneymath","a11yText":"Bill Kinney. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":311,"text":"5:11","a11yText":"Süre 5 dakika 11 saniye","shortText":"5 dk."},"views":{"text":"5,7bin","a11yText":"5,7 bin izleme"},"date":"20 mar 2023","modifyTime":1679270400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vKNsLpKhb-Y?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vKNsLpKhb-Y","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":311},"parentClipId":"13320350301219739754","href":"/preview/13320350301219739754?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/13320350301219739754?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"5648364508964798198":{"videoId":"5648364508964798198","title":"\u0007[direct\u0007] \u0007[product\u0007] of groups number of elements of order n Z15xZ5 \u0007[direct\u0007] \u0007[product\u0007] gate 20...","cleanTitle":"direct product of groups number of elements of order n Z15xZ5 direct product gate 2019 group theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rX0zcKckPTU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rX0zcKckPTU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWmZaUW1rcTdfMmg2RjJqckRuYWFVZw==","name":"Santoshi Classes","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Santoshi+Classes","origUrl":"http://www.youtube.com/@SantoshiFamily","a11yText":"Santoshi Classes. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":221,"text":"3:41","a11yText":"Süre 3 dakika 41 saniye","shortText":"3 dk."},"views":{"text":"6,6bin","a11yText":"6,6 bin izleme"},"date":"2 eyl 2021","modifyTime":1630540800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rX0zcKckPTU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rX0zcKckPTU","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":221},"parentClipId":"5648364508964798198","href":"/preview/5648364508964798198?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/5648364508964798198?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2146742279819887781":{"videoId":"2146742279819887781","title":"External \u0007[Direct\u0007] \u0007[Product\u0007] Full Concept in 1 Video","cleanTitle":"External Direct Product Full Concept in 1 Video","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=GW4wfrDNi-o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/GW4wfrDNi-o?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDdVI3al9mRzUwaFNpOVdhNFJ6QUI3UQ==","name":"Maths with Dr. Upasana pahuja Taneja","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Maths+with+Dr.+Upasana+pahuja+Taneja","origUrl":"http://www.youtube.com/@mathsmasteryDrUpasana","a11yText":"Maths with Dr. Upasana pahuja Taneja. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1090,"text":"18:10","a11yText":"Süre 18 dakika 10 saniye","shortText":"18 dk."},"views":{"text":"28,5bin","a11yText":"28,5 bin izleme"},"date":"12 şub 2021","modifyTime":1613088000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/GW4wfrDNi-o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=GW4wfrDNi-o","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":1090},"parentClipId":"2146742279819887781","href":"/preview/2146742279819887781?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/2146742279819887781?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2912474744799805638":{"videoId":"2912474744799805638","title":"#28 | Internal \u0007[direct\u0007] \u0007[product\u0007] | Group theory | csir net mathematics | gate mathematics cours...","cleanTitle":"#28 | Internal direct product | Group theory | csir net mathematics | gate mathematics course","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-ag-r-5v57g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-ag-r-5v57g?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSTNORzZscU1qeHk4UEZYdnlpQnFZQQ==","name":"SuccessTed","isVerified":false,"subscribersCount":0,"url":"/video/search?text=SuccessTed","origUrl":"http://www.youtube.com/@SuccessTed","a11yText":"SuccessTed. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":5238,"text":"1:27:18","a11yText":"Süre 1 saat 27 dakika 18 saniye","shortText":"1 sa. 27 dk."},"views":{"text":"3,5bin","a11yText":"3,5 bin izleme"},"date":"24 nis 2020","modifyTime":1587707008000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-ag-r-5v57g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-ag-r-5v57g","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":5238},"parentClipId":"2912474744799805638","href":"/preview/2912474744799805638?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/2912474744799805638?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"6572675106947866445":{"videoId":"6572675106947866445","title":"\u0007[Direct\u0007] \u0007[product\u0007] | Group theory | Reducible representation","cleanTitle":"Direct product | Group theory | Reducible representation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=mkj14vB5v9E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mkj14vB5v9E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDYTBWNVViZ2p0MDNnQmJ2OWV5b18tQQ==","name":"CSIR NET GATE CHEMISTRY","isVerified":false,"subscribersCount":0,"url":"/video/search?text=CSIR+NET+GATE+CHEMISTRY","origUrl":"http://www.youtube.com/channel/UCa0V5Ubgjt03gBbv9eyo_-A","a11yText":"CSIR NET GATE CHEMISTRY. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":519,"text":"8:39","a11yText":"Süre 8 dakika 39 saniye","shortText":"8 dk."},"views":{"text":"31,4bin","a11yText":"31,4 bin izleme"},"date":"30 mayıs 2018","modifyTime":1527638400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mkj14vB5v9E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mkj14vB5v9E","reqid":"1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL","duration":519},"parentClipId":"6572675106947866445","href":"/preview/6572675106947866445?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","rawHref":"/video/preview/6572675106947866445?parent-reqid=1776404211830588-12523857291189944837-balancer-l7leveler-kubr-yp-vla-53-BAL&text=Direct+Product","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"2523857291189944837753","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Direct Product","queryUriEscaped":"Direct%20Product","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}