Extensions 1→N→G→Q→1 with N=C₂²×A₄ and Q=C₁₀

Direct product G=N×Q with N=C₂²×A₄ and Q=C₁₀

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

Semidirect products G=N:Q with N=C₂²×A₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄)⋊₁C₁₀ = C₅×D₄×A₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×A₄	60	6	(C2^2xA4):1C10	480,1127
(C₂²×A₄)⋊₂C₁₀ = C₅×A₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×A₄	60	6	(C2^2xA4):2C10	480,1023
(C₂²×A₄)⋊₃C₁₀ = C₂×C₁₀×S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×A₄	60		(C2^2xA4):3C10	480,1198

Non-split extensions G=N.Q with N=C₂²×A₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄).C₁₀ = C₁₀×A₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×A₄	120		(C2^2xA4).C10	480,1022
(C₂²×A₄).₂C₁₀ = A₄×C₂×C₂₀	φ: trivial image	120		(C2^2xA4).2C10	480,1126

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Extensions 1→N→G→Q→1 with N=C22×A4 and Q=C10