Extensions 1→N→G→Q→1 with N=C₂²xA₄ and Q=S₃

Direct product G=NxQ with N=C₂²xA₄ and Q=S₃

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

Semidirect products G=N:Q with N=C₂²xA₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xA₄):₁S₃ = A₄xS₄	φ: S₃/C₁ → S₃ ⊆ Out C₂²xA₄	16	9+	(C2^2xA4):1S3	288,1024
(C₂²xA₄):₂S₃ = PSO₄⁺ (F₃)	φ: S₃/C₁ → S₃ ⊆ Out C₂²xA₄	12	9+	(C2^2xA4):2S3	288,1026
(C₂²xA₄):₃S₃ = A₄xC₃:D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²xA₄	36	6	(C2^2xA4):3S3	288,928
(C₂²xA₄):₄S₃ = (C₂xC₆):₄S₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²xA₄	36	6	(C2^2xA4):4S3	288,917
(C₂²xA₄):₅S₃ = C₂²xC₃:S₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²xA₄	36		(C2^2xA4):5S3	288,1034

Non-split extensions G=N.Q with N=C₂²xA₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xA₄).S₃ = C₂xC₆.₇S₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²xA₄	72		(C2^2xA4).S3	288,916
(C₂²xA₄).₂S₃ = C₂xDic₃xA₄	φ: trivial image	72		(C2^2xA4).2S3	288,927

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