Extensions 1→N→G→Q→1 with N=C₁₂×A₄ and Q=C₂

Direct product G=N×Q with N=C₁₂×A₄ and Q=C₂

		d	ρ	Label	ID
A₄×C₂×C₁₂		72		A4xC2xC12	288,979

Semidirect products G=N:Q with N=C₁₂×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×A₄)⋊₁C₂ = C₁₂⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	6+	(C12xA4):1C2	288,909
(C₁₂×A₄)⋊₂C₂ = C₃×C₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	6	(C12xA4):2C2	288,898
(C₁₂×A₄)⋊₃C₂ = A₄×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	6+	(C12xA4):3C2	288,920
(C₁₂×A₄)⋊₄C₂ = C₁₂×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	3	(C12xA4):4C2	288,897
(C₁₂×A₄)⋊₅C₂ = C₄×C₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	6	(C12xA4):5C2	288,908
(C₁₂×A₄)⋊₆C₂ = C₄×S₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	6	(C12xA4):6C2	288,919
(C₁₂×A₄)⋊₇C₂ = C₃×D₄×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	36	6	(C12xA4):7C2	288,980

Non-split extensions G=N.Q with N=C₁₂×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂×A₄).₁C₂ = A₄⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	6-	(C12xA4).1C2	288,907
(C₁₂×A₄).₂C₂ = C₃×A₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	6	(C12xA4).2C2	288,896
(C₁₂×A₄).₃C₂ = A₄×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	6-	(C12xA4).3C2	288,918
(C₁₂×A₄).₄C₂ = C₃×A₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	3	(C12xA4).4C2	288,398
(C₁₂×A₄).₅C₂ = C₁₂.₁₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	6	(C12xA4).5C2	288,402
(C₁₂×A₄).₆C₂ = A₄×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	6	(C12xA4).6C2	288,408
(C₁₂×A₄).₇C₂ = C₃×Q₈×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂×A₄	72	6	(C12xA4).7C2	288,982
(C₁₂×A₄).₈C₂ = A₄×C₂₄	φ: trivial image	72	3	(C12xA4).8C2	288,637

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