Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=C₁₀

Direct product G=N×Q with N=C₄×A₄ and Q=C₁₀

		d	ρ	Label	ID
A₄×C₂×C₂₀		120		A4xC2xC20	480,1126

Semidirect products G=N:Q with N=C₄×A₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊₁C₁₀ = C₅×C₄⋊S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×A₄	60	6	(C4xA4):1C10	480,1015
(C₄×A₄)⋊₂C₁₀ = C₂₀×S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×A₄	60	3	(C4xA4):2C10	480,1014
(C₄×A₄)⋊₃C₁₀ = C₅×D₄×A₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×A₄	60	6	(C4xA4):3C10	480,1127

Non-split extensions G=N.Q with N=C₄×A₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄).₁C₁₀ = C₅×A₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×A₄	120	6	(C4xA4).1C10	480,1013
(C₄×A₄).₂C₁₀ = C₅×A₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×A₄	120	3	(C4xA4).2C10	480,255
(C₄×A₄).₃C₁₀ = C₅×Q₈×A₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×A₄	120	6	(C4xA4).3C10	480,1129
(C₄×A₄).₄C₁₀ = A₄×C₄₀	φ: trivial image	120	3	(C4xA4).4C10	480,659

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