Extensions 1→N→G→Q→1 with N=A₄×C₃⋊S₃ and Q=C₂

Direct product G=N×Q with N=A₄×C₃⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×A₄×C₃⋊S₃		54		C2xA4xC3:S3	432,764

Semidirect products G=N:Q with N=A₄×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₃⋊S₃)⋊₁C₂ = C₃⋊S₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃⋊S₃	36		(A4xC3:S3):1C2	432,746
(A₄×C₃⋊S₃)⋊₂C₂ = C₆²⋊₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃⋊S₃	24	12+	(A4xC3:S3):2C2	432,748
(A₄×C₃⋊S₃)⋊₃C₂ = S₃²×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃⋊S₃	24	12+	(A4xC3:S3):3C2	432,749

Non-split extensions G=N.Q with N=A₄×C₃⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₃⋊S₃).₁C₂ = C₆²⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃⋊S₃	24	12+	(A4xC3:S3).1C2	432,743
(A₄×C₃⋊S₃).₂C₂ = A₄×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₃⋊S₃	24	12+	(A4xC3:S3).2C2	432,744

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Extensions 1→N→G→Q→1 with N=A4×C3⋊S3 and Q=C2