Extensions 1→N→G→Q→1 with N=C₃²×A₄ and Q=C₂

Direct product G=N×Q with N=C₃²×A₄ and Q=C₂

		d	ρ	Label	ID
A₄×C₃×C₆		54		A4xC3xC6	216,173

Semidirect products G=N:Q with N=C₃²×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×A₄)⋊₁C₂ = C₃²×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×A₄	36		(C3^2xA4):1C2	216,163
(C₃²×A₄)⋊₂C₂ = C₃×C₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×A₄	24	6	(C3^2xA4):2C2	216,164
(C₃²×A₄)⋊₃C₂ = C₃²⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×A₄	36		(C3^2xA4):3C2	216,165
(C₃²×A₄)⋊₄C₂ = C₃×S₃×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²×A₄	24	6	(C3^2xA4):4C2	216,166
(C₃²×A₄)⋊₅C₂ = A₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×A₄	36		(C3^2xA4):5C2	216,167

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