Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₁₂

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₁₂

		d	ρ	Label	ID
Dic₃×C₂×C₁₂		96		Dic3xC2xC12	288,693

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊C₁₂ = C₃×C₂³.₆D₆	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):C12	288,240
(C₂×Dic₃)⋊₂C₁₂ = C₃×C₆.C₄²	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3):2C12	288,265
(C₂×Dic₃)⋊₃C₁₂ = C₃×C₂³.₁₆D₆	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):3C12	288,648
(C₂×Dic₃)⋊₄C₁₂ = C₆×Dic₃⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3):4C12	288,694

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).C₁₂ = C₃×C₁₂.₄₇D₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Dic₃	48	4	(C2xDic3).C12	288,258
(C₂×Dic₃).₂C₁₂ = C₃×Dic₃⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).2C12	288,248
(C₂×Dic₃).₃C₁₂ = C₃×C₂₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).3C12	288,249
(C₂×Dic₃).₄C₁₂ = C₃×D₆⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).4C12	288,254
(C₂×Dic₃).₅C₁₂ = C₆×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).5C12	288,671
(C₂×Dic₃).₆C₁₂ = C₃×S₃×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Dic₃	48	4	(C2xDic3).6C12	288,677
(C₂×Dic₃).₇C₁₂ = Dic₃×C₂₄	φ: trivial image	96		(C2xDic3).7C12	288,247
(C₂×Dic₃).₈C₁₂ = S₃×C₂×C₂₄	φ: trivial image	96		(C2xDic3).8C12	288,670

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