Extensions 1→N→G→Q→1 with N=A₄⋊C₄ and Q=S₃

Direct product G=N×Q with N=A₄⋊C₄ and Q=S₃

		d	ρ	Label	ID
S₃×A₄⋊C₄		36	6	S3xA4:C4	288,856

Semidirect products G=N:Q with N=A₄⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄⋊S₃ = A₄⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out A₄⋊C₄	36	6+	A4:C4:S3	288,858
A₄⋊C₄⋊₂S₃ = Dic₃⋊₂S₄	φ: trivial image	36	6	A4:C4:2S3	288,854

Non-split extensions G=N.Q with N=A₄⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄.S₃ = Dic₃.S₄	φ: S₃/C₃ → C₂ ⊆ Out A₄⋊C₄	72	6-	A4:C4.S3	288,852

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Extensions 1→N→G→Q→1 with N=A4⋊C4 and Q=S3