Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=C₂₀

Direct product G=N×Q with N=C₂×A₄ and Q=C₂₀

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

Semidirect products G=N:Q with N=C₂×A₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊C₂₀ = C₁₀×A₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×A₄	120		(C2xA4):C20	480,1022

Non-split extensions G=N.Q with N=C₂×A₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).C₂₀ = C₅×A₄⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×A₄	120	3	(C2xA4).C20	480,255
(C₂×A₄).₂C₂₀ = A₄×C₄₀	φ: trivial image	120	3	(C2xA4).2C20	480,659

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Extensions 1→N→G→Q→1 with N=C2×A4 and Q=C20