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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊₁(C₂×C₃⋊S₃) = C₃⋊S₃×S₄	φ: C₂×C₃⋊S₃/C₃⋊S₃ → C₂ ⊆ Out A₄	36		A4:1(C2xC3:S3)	432,746
A₄⋊₂(C₂×C₃⋊S₃) = C₂×C₃²⋊₄S₄	φ: C₂×C₃⋊S₃/C₃×C₆ → C₂ ⊆ Out A₄	54		A4:2(C2xC3:S3)	432,762

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