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

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

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

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

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₂×C₆)⋊₁C₃ = C₂⁴⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out A₄×C₂×C₆	36	9	(A4xC2xC6):1C3	432,526
(A₄×C₂×C₆)⋊₂C₃ = C₂²×C₃²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out A₄×C₂×C₆	36		(A4xC2xC6):2C3	432,550
(A₄×C₂×C₆)⋊₃C₃ = C₃×A₄²	φ: C₃/C₁ → C₃ ⊆ Out A₄×C₂×C₆	36	9	(A4xC2xC6):3C3	432,750

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

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₂×C₆).₁C₃ = A₄×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out A₄×C₂×C₆	54	9	(A4xC2xC6).1C3	432,524
(A₄×C₂×C₆).₂C₃ = C₂⁴⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out A₄×C₂×C₆	54	9	(A4xC2xC6).2C3	432,527
(A₄×C₂×C₆).₃C₃ = C₂²×C₉⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out A₄×C₂×C₆	108		(A4xC2xC6).3C3	432,547
(A₄×C₂×C₆).₄C₃ = A₄×C₂×C₁₈	φ: trivial image	108		(A4xC2xC6).4C3	432,546

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