Extensions 1→N→G→Q→1 with N=A₄ and Q=C₃⋊D₄

Direct product G=N×Q with N=A₄ and Q=C₃⋊D₄

		d	ρ	Label	ID
A₄×C₃⋊D₄		36	6	A4xC3:D4	288,928

Semidirect products G=N:Q with N=A₄ and Q=C₃⋊D₄

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊₁(C₃⋊D₄) = Dic₃⋊S₄	φ: C₃⋊D₄/Dic₃ → C₂ ⊆ Out A₄	36	6	A4:1(C3:D4)	288,855
A₄⋊₂(C₃⋊D₄) = D₆⋊S₄	φ: C₃⋊D₄/D₆ → C₂ ⊆ Out A₄	36	6	A4:2(C3:D4)	288,857
A₄⋊₃(C₃⋊D₄) = (C₂×C₆)⋊₄S₄	φ: C₃⋊D₄/C₂×C₆ → C₂ ⊆ Out A₄	36	6	A4:3(C3:D4)	288,917

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