Extensions 1→N→G→Q→1 with N=C₂²×C₃.A₄ and Q=C₂

Direct product G=N×Q with N=C₂²×C₃.A₄ and Q=C₂

		d	ρ	Label	ID
C₂³×C₃.A₄		72		C2^3xC3.A4	288,837

Semidirect products G=N:Q with N=C₂²×C₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₃.A₄)⋊₁C₂ = D₄×C₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₃.A₄	36	6	(C2^2xC3.A4):1C2	288,344
(C₂²×C₃.A₄)⋊₂C₂ = C₂³.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₃.A₄	36	6	(C2^2xC3.A4):2C2	288,342
(C₂²×C₃.A₄)⋊₃C₂ = C₂²×C₃.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₃.A₄	36		(C2^2xC3.A4):3C2	288,835

Non-split extensions G=N.Q with N=C₂²×C₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₃.A₄).C₂ = C₂×C₆.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₃.A₄	72		(C2^2xC3.A4).C2	288,341
(C₂²×C₃.A₄).₂C₂ = C₂×C₄×C₃.A₄	φ: trivial image	72		(C2^2xC3.A4).2C2	288,343

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Extensions 1→N→G→Q→1 with N=C22×C3.A4 and Q=C2