Extensions 1→N→G→Q→1 with N=C₂×Dic₆ and Q=C₆

Direct product G=N×Q with N=C₂×Dic₆ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×Dic₆		96		C2xC6xDic6	288,988

Semidirect products G=N:Q with N=C₂×Dic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆)⋊₁C₆ = C₃×C₄²⋊₇S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):1C6	288,646
(C₂×Dic₆)⋊₂C₆ = C₃×Dic₃.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):2C6	288,649
(C₂×Dic₆)⋊₃C₆ = C₃×C₂³.₁₁D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):3C6	288,656
(C₂×Dic₆)⋊₄C₆ = C₃×D₆⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):4C6	288,667
(C₂×Dic₆)⋊₅C₆ = C₆×C₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):5C6	288,673
(C₂×Dic₆)⋊₆C₆ = C₃×C₁₂.₄₈D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):6C6	288,695
(C₂×Dic₆)⋊₇C₆ = C₃×C₄.D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):7C6	288,668
(C₂×Dic₆)⋊₈C₆ = C₃×C₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6):8C6	288,680
(C₂×Dic₆)⋊₉C₆ = C₆×D₄.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):9C6	288,704
(C₂×Dic₆)⋊₁₀C₆ = C₃×C₂³.₁₂D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):10C6	288,707
(C₂×Dic₆)⋊₁₁C₆ = C₃×Q₈.₁₄D₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6):11C6	288,722
(C₂×Dic₆)⋊₁₂C₆ = C₆×D₄⋊₂S₃	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48		(C2xDic6):12C6	288,993
(C₂×Dic₆)⋊₁₃C₆ = S₃×C₆×Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6):13C6	288,995
(C₂×Dic₆)⋊₁₄C₆ = C₃×Q₈○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6):14C6	288,1000
(C₂×Dic₆)⋊₁₅C₆ = C₆×C₄○D₁₂	φ: trivial image	48		(C2xDic6):15C6	288,991

Non-split extensions G=N.Q with N=C₂×Dic₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆).₁C₆ = C₃×C₂.Dic₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).1C6	288,250
(C₂×Dic₆).₂C₆ = C₃×C₁₂⋊₂Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).2C6	288,640
(C₂×Dic₆).₃C₆ = C₃×C₁₂⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).3C6	288,659
(C₂×Dic₆).₄C₆ = C₆×Dic₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).4C6	288,676
(C₂×Dic₆).₅C₆ = C₃×C₆.SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).5C6	288,244
(C₂×Dic₆).₆C₆ = C₃×C₁₂.₄₇D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	48	4	(C2xDic6).6C6	288,258
(C₂×Dic₆).₇C₆ = C₃×Dic₆⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).7C6	288,658
(C₂×Dic₆).₈C₆ = C₆×C₃⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).8C6	288,714
(C₂×Dic₆).₉C₆ = C₃×Dic₃⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₆	96		(C2xDic6).9C6	288,715
(C₂×Dic₆).₁₀C₆ = C₁₂×Dic₆	φ: trivial image	96		(C2xDic6).10C6	288,639

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