Extensions 1→N→G→Q→1 with N=C₂xS₃xA₄ and Q=C₂

Direct product G=NxQ with N=C₂xS₃xA₄ and Q=C₂

		d	ρ	Label	ID
C₂²xS₃xA₄		36		C2^2xS3xA4	288,1037

Semidirect products G=N:Q with N=C₂xS₃xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃xA₄):₁C₂ = D₆:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xA₄	36	6	(C2xS3xA4):1C2	288,857
(C₂xS₃xA₄):₂C₂ = A₄:D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xA₄	36	6+	(C2xS3xA4):2C2	288,858
(C₂xS₃xA₄):₃C₂ = A₄xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xA₄	36	6+	(C2xS3xA4):3C2	288,920
(C₂xS₃xA₄):₄C₂ = A₄xC₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xA₄	36	6	(C2xS3xA4):4C2	288,928
(C₂xS₃xA₄):₅C₂ = C₂xS₃xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xA₄	18	6+	(C2xS3xA4):5C2	288,1028

Non-split extensions G=N.Q with N=C₂xS₃xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₃xA₄).C₂ = S₃xA₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xS₃xA₄	36	6	(C2xS3xA4).C2	288,856
(C₂xS₃xA₄).₂C₂ = C₄xS₃xA₄	φ: trivial image	36	6	(C2xS3xA4).2C2	288,919

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