Extensions 1→N→G→Q→1 with N=A₄×C₂×C₁₀ and Q=C₂

Direct product G=N×Q with N=A₄×C₂×C₁₀ and Q=C₂

		d	ρ	Label	ID
A₄×C₂²×C₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=A₄×C₂×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₂×C₁₀)⋊₁C₂ = C₅×D₄×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60	6	(A4xC2xC10):1C2	480,1127
(A₄×C₂×C₁₀)⋊₂C₂ = C₂⁴⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60	6	(A4xC2xC10):2C2	480,1034
(A₄×C₂×C₁₀)⋊₃C₂ = C₂²×C₅⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60		(A4xC2xC10):3C2	480,1199
(A₄×C₂×C₁₀)⋊₄C₂ = A₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60	6	(A4xC2xC10):4C2	480,1045
(A₄×C₂×C₁₀)⋊₅C₂ = C₂²×D₅×A₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60		(A4xC2xC10):5C2	480,1202
(A₄×C₂×C₁₀)⋊₆C₂ = C₅×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60	6	(A4xC2xC10):6C2	480,1023
(A₄×C₂×C₁₀)⋊₇C₂ = C₂×C₁₀×S₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	60		(A4xC2xC10):7C2	480,1198

Non-split extensions G=N.Q with N=A₄×C₂×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(A₄×C₂×C₁₀).₁C₂ = C₂×A₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	120		(A4xC2xC10).1C2	480,1033
(A₄×C₂×C₁₀).₂C₂ = C₂×A₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	120		(A4xC2xC10).2C2	480,1044
(A₄×C₂×C₁₀).₃C₂ = C₁₀×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out A₄×C₂×C₁₀	120		(A4xC2xC10).3C2	480,1022
(A₄×C₂×C₁₀).₄C₂ = A₄×C₂×C₂₀	φ: trivial image	120		(A4xC2xC10).4C2	480,1126

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