Extensions 1→N→G→Q→1 with N=C₄×C₃.A₄ and Q=C₂

Direct product G=N×Q with N=C₄×C₃.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₃.A₄		72		C2xC4xC3.A4	288,343

Semidirect products G=N:Q with N=C₄×C₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₃.A₄)⋊₁C₂ = C₂²⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃.A₄	36	6+	(C4xC3.A4):1C2	288,334
(C₄×C₃.A₄)⋊₂C₂ = C₄×C₃.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃.A₄	36	6	(C4xC3.A4):2C2	288,333
(C₄×C₃.A₄)⋊₃C₂ = D₄×C₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃.A₄	36	6	(C4xC3.A4):3C2	288,344

Non-split extensions G=N.Q with N=C₄×C₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₃.A₄).₁C₂ = C₁₂.₁S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃.A₄	72	6-	(C4xC3.A4).1C2	288,332
(C₄×C₃.A₄).₂C₂ = C₁₂.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃.A₄	72	6	(C4xC3.A4).2C2	288,68
(C₄×C₃.A₄).₃C₂ = Q₈×C₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₃.A₄	72	6	(C4xC3.A4).3C2	288,346
(C₄×C₃.A₄).₄C₂ = C₈×C₃.A₄	φ: trivial image	72	3	(C4xC3.A4).4C2	288,76

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