Extensions 1→N→G→Q→1 with N=C₂²xS₃ and Q=A₄

Direct product G=NxQ with N=C₂²xS₃ and Q=A₄

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

Semidirect products G=N:Q with N=C₂²xS₃ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃):A₄ = (C₂²xS₃):A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂²xS₃	24	6	(C2^2xS3):A4	288,411
(C₂²xS₃):₂A₄ = S₃xC₂²:A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂²xS₃	36		(C2^2xS3):2A4	288,1038

Non-split extensions G=N.Q with N=C₂²xS₃ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xS₃).₁A₄ = (C₄xC₁₂):C₆	φ: A₄/C₁ → A₄ ⊆ Out C₂²xS₃	36	6+	(C2^2xS3).1A4	288,405
(C₂²xS₃).₂A₄ = C₄²:C₃:S₃	φ: A₄/C₁ → A₄ ⊆ Out C₂²xS₃	48	6	(C2^2xS3).2A4	288,406
(C₂²xS₃).₃A₄ = S₃xC₄²:C₃	φ: A₄/C₂² → C₃ ⊆ Out C₂²xS₃	36	6	(C2^2xS3).3A4	288,407
(C₂²xS₃).₄A₄ = C₂xS₃xSL₂(F₃)	φ: trivial image	48		(C2^2xS3).4A4	288,922

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