Extensions 1→N→G→Q→1 with N=C₂×Dic₆ and Q=S₃

Direct product G=N×Q with N=C₂×Dic₆ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×Dic₆		96		C2xS3xDic6	288,942

Semidirect products G=N:Q with N=C₂×Dic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆)⋊₁S₃ = C₂×C₃²⋊₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):1S3	288,480
(C₂×Dic₆)⋊₂S₃ = D₆⋊₆Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):2S3	288,504
(C₂×Dic₆)⋊₃S₃ = C₁₂.₂₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):3S3	288,512
(C₂×Dic₆)⋊₄S₃ = D₆⋊₁Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):4S3	288,535
(C₂×Dic₆)⋊₅S₃ = C₆².₅₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):5S3	288,536
(C₂×Dic₆)⋊₆S₃ = C₆².₇₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):6S3	288,555
(C₂×Dic₆)⋊₇S₃ = C₂×Dic₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):7S3	288,474
(C₂×Dic₆)⋊₈S₃ = D₁₂.₃₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6):8S3	288,475
(C₂×Dic₆)⋊₉S₃ = Dic₆.₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6):9S3	288,481
(C₂×Dic₆)⋊₁₀S₃ = C₆².₃₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):10S3	288,511
(C₂×Dic₆)⋊₁₁S₃ = C₁₂.₃₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):11S3	288,519
(C₂×Dic₆)⋊₁₂S₃ = C₂×D₁₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):12S3	288,944
(C₂×Dic₆)⋊₁₃S₃ = D₁₂.₃₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6):13S3	288,945
(C₂×Dic₆)⋊₁₄S₃ = C₂×Dic₃.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):14S3	288,947
(C₂×Dic₆)⋊₁₅S₃ = C₂×D₆.₆D₆	φ: trivial image	48		(C2xDic6):15S3	288,949

Non-split extensions G=N.Q with N=C₂×Dic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆).₁S₃ = C₆.Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).1S3	288,214
(C₂×Dic₆).₂S₃ = C₂×C₃²⋊₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).2S3	288,483
(C₂×Dic₆).₃S₃ = C₆².₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).3S3	288,487
(C₂×Dic₆).₄S₃ = Dic₃⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).4S3	288,514
(C₂×Dic₆).₅S₃ = C₁₂.₁₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6).5S3	288,208
(C₂×Dic₆).₆S₃ = Dic₆⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).6S3	288,213
(C₂×Dic₆).₇S₃ = C₂×C₃²⋊₂Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).7S3	288,482
(C₂×Dic₆).₈S₃ = C₆².₁₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).8S3	288,491
(C₂×Dic₆).₉S₃ = C₆².₄₃C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).9S3	288,521
(C₂×Dic₆).₁₀S₃ = Dic₃×Dic₆	φ: trivial image	96		(C2xDic6).10S3	288,490

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