Extensions 1→N→G→Q→1 with N=C₂×S₃×A₄ and Q=C₂

Direct product G=N×Q with N=C₂×S₃×A₄ and Q=C₂

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

Semidirect products G=N:Q with N=C₂×S₃×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃×A₄)⋊₁C₂ = D₆⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×A₄	36	6	(C2xS3xA4):1C2	288,857
(C₂×S₃×A₄)⋊₂C₂ = A₄⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×A₄	36	6+	(C2xS3xA4):2C2	288,858
(C₂×S₃×A₄)⋊₃C₂ = A₄×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×A₄	36	6+	(C2xS3xA4):3C2	288,920
(C₂×S₃×A₄)⋊₄C₂ = A₄×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×A₄	36	6	(C2xS3xA4):4C2	288,928
(C₂×S₃×A₄)⋊₅C₂ = C₂×S₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×A₄	18	6+	(C2xS3xA4):5C2	288,1028

Non-split extensions G=N.Q with N=C₂×S₃×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃×A₄).C₂ = S₃×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×A₄	36	6	(C2xS3xA4).C2	288,856
(C₂×S₃×A₄).₂C₂ = C₄×S₃×A₄	φ: trivial image	36	6	(C2xS3xA4).2C2	288,919

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