Order 12 Subgroups in S5

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Abstract Algebra: Find all subgroups in S5, the symmetric group on 5 letters, that are isomorphic to D12, the dihedral group with 12 elements.","styleRuns":[{"startIndex":0,"length":143,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":143,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"COEBELsvGAIiEwjqsuKvmLCKAxWXiowIHW05N_Y=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0E5WlN6TjEySjk0GAYyJSIRIgtBOVpTek4xMko5NDAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"COEBELsvGAIiEwjqsuKvmLCKAxWXiowIHW05N_Y=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"COABELovIhMI6rLir5iwigMVl4qMCB1tOTf2"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"skkiguCn8XA","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/skkiguCn8XA/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBY8Yjkm5jS2a_yUutoUG1pUElAGA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/skkiguCn8XA/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCtGbyXnI5sHjtkcn47RvBRYya-2w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"GT17.1. 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