Extensions 1→N→G→Q→1 with N=C₃×Dic₆ and Q=C₄

Direct product G=N×Q with N=C₃×Dic₆ and Q=C₄

		d	ρ	Label	ID
C₁₂×Dic₆		96		C12xDic6	288,639

Semidirect products G=N:Q with N=C₃×Dic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆)⋊₁C₄ = Dic₆⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):1C4	288,213
(C₃×Dic₆)⋊₂C₄ = C₆.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):2C4	288,214
(C₃×Dic₆)⋊₃C₄ = D₁₂⋊₄Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	24	4	(C3xDic6):3C4	288,216
(C₃×Dic₆)⋊₄C₄ = D₁₂⋊₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):4C4	288,217
(C₃×Dic₆)⋊₅C₄ = C₃×C₆.SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):5C4	288,244
(C₃×Dic₆)⋊₆C₄ = C₃×D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6):6C4	288,259
(C₃×Dic₆)⋊₇C₄ = Dic₃×Dic₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):7C4	288,490
(C₃×Dic₆)⋊₈C₄ = C₆².₁₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):8C4	288,491
(C₃×Dic₆)⋊₉C₄ = C₃×Dic₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):9C4	288,658
(C₃×Dic₆)⋊₁₀C₄ = C₃×C₄²⋊₄S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	24	2	(C3xDic6):10C4	288,239
(C₃×Dic₆)⋊₁₁C₄ = C₃×C₂.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	96		(C3xDic6):11C4	288,250

Non-split extensions G=N.Q with N=C₃×Dic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₆).₁C₄ = D₁₂.₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).1C4	288,462
(C₃×Dic₆).₂C₄ = D₁₂.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).2C4	288,463
(C₃×Dic₆).₃C₄ = C₃×D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×Dic₆	48	4	(C3xDic6).3C4	288,678
(C₃×Dic₆).₄C₄ = C₃×C₈○D₁₂	φ: trivial image	48	2	(C3xDic6).4C4	288,672

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