Extensions 1→N→G→Q→1 with N=C₄×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₄×Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Dic₃		96		C2xC4xDic3	96,129

Semidirect products G=N:Q with N=C₄×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃)⋊₁C₂ = D₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	24	4	(C4xDic3):1C2	96,32
(C₄×Dic₃)⋊₂C₂ = Q₈⋊₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	24	4	(C4xDic3):2C2	96,44
(C₄×Dic₃)⋊₃C₂ = Dic₃⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):3C2	96,100
(C₄×Dic₃)⋊₄C₂ = D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):4C2	96,141
(C₄×Dic₃)⋊₅C₂ = C₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):5C2	96,143
(C₄×Dic₃)⋊₆C₂ = C₁₂⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):6C2	96,147
(C₄×Dic₃)⋊₇C₂ = C₁₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):7C2	96,154
(C₄×Dic₃)⋊₈C₂ = C₄²⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):8C2	96,79
(C₄×Dic₃)⋊₉C₂ = C₂³.₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):9C2	96,84
(C₄×Dic₃)⋊₁₀C₂ = C₂³.₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):10C2	96,86
(C₄×Dic₃)⋊₁₁C₂ = Dic₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):11C2	96,88
(C₄×Dic₃)⋊₁₂C₂ = C₂³.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):12C2	96,92
(C₄×Dic₃)⋊₁₃C₂ = C₄⋊C₄⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):13C2	96,99
(C₄×Dic₃)⋊₁₄C₂ = C₄⋊C₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):14C2	96,105
(C₄×Dic₃)⋊₁₅C₂ = C₂³.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):15C2	96,133
(C₄×Dic₃)⋊₁₆C₂ = C₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	48		(C4xDic3):16C2	96,135
(C₄×Dic₃)⋊₁₇C₂ = S₃×C₄²	φ: trivial image	48		(C4xDic3):17C2	96,78

Non-split extensions G=N.Q with N=C₄×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃).₁C₂ = C₁₂⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).1C2	96,95
(C₄×Dic₃).₂C₂ = C₄.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).2C2	96,97
(C₄×Dic₃).₃C₂ = Dic₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).3C2	96,151
(C₄×Dic₃).₄C₂ = Q₈×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).4C2	96,152
(C₄×Dic₃).₅C₂ = Dic₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).5C2	96,21
(C₄×Dic₃).₆C₂ = C₂₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).6C2	96,22
(C₄×Dic₃).₇C₂ = C₄×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).7C2	96,75
(C₄×Dic₃).₈C₂ = Dic₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).8C2	96,94
(C₄×Dic₃).₉C₂ = Dic₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₃	96		(C4xDic3).9C2	96,96
(C₄×Dic₃).₁₀C₂ = C₈×Dic₃	φ: trivial image	96		(C4xDic3).10C2	96,20

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