C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=A₄² and Q=C₂

Direct product G=N×Q with N=A₄² and Q=C₂

		d	ρ	Label	ID
C₂×A₄²		18	9+	C2xA4^2	288,1029

Semidirect products G=N:Q with N=A₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄²)⋊₁C₂ = A₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out A₄²	8	6+	(A4^2):1C2	288,1025
(A₄²)⋊₂C₂ = A₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄²	16	9+	(A4^2):2C2	288,1024
(A₄²)⋊₃C₂ = PSO₄⁺ (𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out A₄²	12	9+	(A4^2):3C2	288,1026

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