Extensions 1→N→G→Q→1 with N=C₁₂xA₄ and Q=C₂

Direct product G=NxQ with N=C₁₂xA₄ and Q=C₂

		d	ρ	Label	ID
A₄xC₂xC₁₂		72		A4xC2xC12	288,979

Semidirect products G=N:Q with N=C₁₂xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂xA₄):₁C₂ = C₁₂:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	6+	(C12xA4):1C2	288,909
(C₁₂xA₄):₂C₂ = C₃xC₄:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	6	(C12xA4):2C2	288,898
(C₁₂xA₄):₃C₂ = A₄xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	6+	(C12xA4):3C2	288,920
(C₁₂xA₄):₄C₂ = C₁₂xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	3	(C12xA4):4C2	288,897
(C₁₂xA₄):₅C₂ = C₄xC₃:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	6	(C12xA4):5C2	288,908
(C₁₂xA₄):₆C₂ = C₄xS₃xA₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	6	(C12xA4):6C2	288,919
(C₁₂xA₄):₇C₂ = C₃xD₄xA₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	36	6	(C12xA4):7C2	288,980

Non-split extensions G=N.Q with N=C₁₂xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₂xA₄).₁C₂ = A₄:Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	6-	(C12xA4).1C2	288,907
(C₁₂xA₄).₂C₂ = C₃xA₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	6	(C12xA4).2C2	288,896
(C₁₂xA₄).₃C₂ = A₄xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	6-	(C12xA4).3C2	288,918
(C₁₂xA₄).₄C₂ = C₃xA₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	3	(C12xA4).4C2	288,398
(C₁₂xA₄).₅C₂ = C₁₂.₁₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	6	(C12xA4).5C2	288,402
(C₁₂xA₄).₆C₂ = A₄xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	6	(C12xA4).6C2	288,408
(C₁₂xA₄).₇C₂ = C₃xQ₈xA₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂xA₄	72	6	(C12xA4).7C2	288,982
(C₁₂xA₄).₈C₂ = A₄xC₂₄	φ: trivial image	72	3	(C12xA4).8C2	288,637

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