Extensions 1→N→G→Q→1 with N=C₆×C₃.A₄ and Q=C₂

Direct product G=N×Q with N=C₆×C₃.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×C₃.A₄		108		C2xC6xC3.A4	432,548

Semidirect products G=N:Q with N=C₆×C₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₃.A₄)⋊₁C₂ = C₂×S₃×C₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₃.A₄	36	6	(C6xC3.A4):1C2	432,541
(C₆×C₃.A₄)⋊₂C₂ = C₆×C₃.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₃.A₄	36	6	(C6xC3.A4):2C2	432,534
(C₆×C₃.A₄)⋊₃C₂ = C₂×C₃².₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₃.A₄	54		(C6xC3.A4):3C2	432,537

Non-split extensions G=N.Q with N=C₆×C₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₃.A₄).₁C₂ = Dic₃×C₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₃.A₄	36	6	(C6xC3.A4).1C2	432,271
(C₆×C₃.A₄).₂C₂ = C₃×C₆.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₃.A₄	36	6	(C6xC3.A4).2C2	432,250
(C₆×C₃.A₄).₃C₂ = C₆².₁₀Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₃.A₄	108		(C6xC3.A4).3C2	432,259
(C₆×C₃.A₄).₄C₂ = C₁₂×C₃.A₄	φ: trivial image	108		(C6xC3.A4).4C2	432,331

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