Extensions 1→N→G→Q→1 with N=C₂²×A₄ and Q=C₆

Direct product G=N×Q with N=C₂²×A₄ and Q=C₆

		d	ρ	Label	ID
A₄×C₂²×C₆		72		A4xC2^2xC6	288,1041

Semidirect products G=N:Q with N=C₂²×A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄)⋊C₆ = A₄×S₄	φ: C₆/C₁ → C₆ ⊆ Out C₂²×A₄	16	9+	(C2^2xA4):C6	288,1024
(C₂²×A₄)⋊₂C₆ = C₂×A₄²	φ: C₆/C₂ → C₃ ⊆ Out C₂²×A₄	18	9+	(C2^2xA4):2C6	288,1029
(C₂²×A₄)⋊₃C₆ = C₃×D₄×A₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×A₄	36	6	(C2^2xA4):3C6	288,980
(C₂²×A₄)⋊₄C₆ = C₃×A₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×A₄	36	6	(C2^2xA4):4C6	288,906
(C₂²×A₄)⋊₅C₆ = C₂×C₆×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×A₄	36		(C2^2xA4):5C6	288,1033

Non-split extensions G=N.Q with N=C₂²×A₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄).C₆ = C₆×A₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×A₄	72		(C2^2xA4).C6	288,905
(C₂²×A₄).₂C₆ = A₄×C₂×C₁₂	φ: trivial image	72		(C2^2xA4).2C6	288,979

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