Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=A₄

Direct product G=N×Q with N=C₂²×S₃ and Q=A₄

		d	ρ	Label	ID
C₂²×S₃×A₄		36		C2^2xS3xA4	288,1037

Semidirect products G=N:Q with N=C₂²×S₃ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊A₄ = (C₂²×S₃)⋊A₄	φ: A₄/C₁ → A₄ ⊆ Out C₂²×S₃	24	6	(C2^2xS3):A4	288,411
(C₂²×S₃)⋊₂A₄ = S₃×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out C₂²×S₃	36		(C2^2xS3):2A4	288,1038

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).₁A₄ = (C₄×C₁₂)⋊C₆	φ: A₄/C₁ → A₄ ⊆ Out C₂²×S₃	36	6+	(C2^2xS3).1A4	288,405
(C₂²×S₃).₂A₄ = C₄²⋊C₃⋊S₃	φ: A₄/C₁ → A₄ ⊆ Out C₂²×S₃	48	6	(C2^2xS3).2A4	288,406
(C₂²×S₃).₃A₄ = S₃×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Out C₂²×S₃	36	6	(C2^2xS3).3A4	288,407
(C₂²×S₃).₄A₄ = C₂×S₃×SL₂(𝔽₃)	φ: trivial image	48		(C2^2xS3).4A4	288,922

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