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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊(C₃⋊S₃) = C₂×C₃²⋊₄S₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂×A₄	54		(C2xA4):(C3:S3)	432,762

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).(C₃⋊S₃) = C₆²⋊₁₀Dic₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₂×A₄	108		(C2xA4).(C3:S3)	432,621
(C₂×A₄).₂(C₃⋊S₃) = A₄×C₃⋊Dic₃	φ: trivial image	108		(C2xA4).2(C3:S3)	432,627

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