Extensions 1→N→G→Q→1 with N=C₄×Dic₃ and Q=S₃

Direct product G=N×Q with N=C₄×Dic₃ and Q=S₃

		d	ρ	Label	ID
C₄×S₃×Dic₃		96		C4xS3xDic3	288,523

Semidirect products G=N:Q with N=C₄×Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃)⋊₁S₃ = D₁₂⋊₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48	4	(C4xDic3):1S3	288,217
(C₄×Dic₃)⋊₂S₃ = C₁₂.₈₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48	4	(C4xDic3):2S3	288,218
(C₄×Dic₃)⋊₃S₃ = C₁₂.₂₇D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):3S3	288,508
(C₄×Dic₃)⋊₄S₃ = C₁₂.₂₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):4S3	288,512
(C₄×Dic₃)⋊₅S₃ = Dic₃×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):5S3	288,540
(C₄×Dic₃)⋊₆S₃ = Dic₃⋊₅D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):6S3	288,542
(C₄×Dic₃)⋊₇S₃ = C₁₂⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):7S3	288,559
(C₄×Dic₃)⋊₈S₃ = C₆².₆C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):8S3	288,484
(C₄×Dic₃)⋊₉S₃ = Dic₃.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):9S3	288,500
(C₄×Dic₃)⋊₁₀S₃ = C₆².₂₅C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):10S3	288,503
(C₄×Dic₃)⋊₁₁S₃ = C₆².₂₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):11S3	288,507
(C₄×Dic₃)⋊₁₂S₃ = C₆².₃₈C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):12S3	288,516
(C₄×Dic₃)⋊₁₃S₃ = C₆².₄₄C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):13S3	288,522
(C₄×Dic₃)⋊₁₄S₃ = C₆².₄₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3):14S3	288,525
(C₄×Dic₃)⋊₁₅S₃ = Dic₃⋊₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):15S3	288,528
(C₄×Dic₃)⋊₁₆S₃ = C₄×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):16S3	288,551
(C₄×Dic₃)⋊₁₇S₃ = C₄×C₆.D₆	φ: trivial image	48		(C4xDic3):17S3	288,530

Non-split extensions G=N.Q with N=C₄×Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃).₁S₃ = Dic₃×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).1S3	288,490
(C₄×Dic₃).₂S₃ = Dic₃⋊₆Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).2S3	288,492
(C₄×Dic₃).₃S₃ = Dic₃⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).3S3	288,514
(C₄×Dic₃).₄S₃ = C₆².₃₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).4S3	288,517
(C₄×Dic₃).₅S₃ = C₁₂⋊₃Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).5S3	288,566
(C₄×Dic₃).₆S₃ = C₃⋊C₈⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).6S3	288,202
(C₄×Dic₃).₇S₃ = C₁₂.₈₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).7S3	288,219
(C₄×Dic₃).₈S₃ = Dic₃⋊₅Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).8S3	288,485
(C₄×Dic₃).₉S₃ = C₆².₃₇C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).9S3	288,515
(C₄×Dic₃).₁₀S₃ = C₄×C₃²⋊₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).10S3	288,565
(C₄×Dic₃).₁₁S₃ = Dic₃×C₃⋊C₈	φ: trivial image	96		(C4xDic3).11S3	288,200

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