Extensions 1→N→G→Q→1 with N=C₂xS₄ and Q=C₁₀

Direct product G=NxQ with N=C₂xS₄ and Q=C₁₀

		d	ρ	Label	ID
C₂xC₁₀xS₄		60		C2xC10xS4	480,1198

Semidirect products G=N:Q with N=C₂xS₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₄):₁C₁₀ = C₅xC₄:S₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xS₄	60	6	(C2xS4):1C10	480,1015
(C₂xS₄):₂C₁₀ = C₅xA₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xS₄	60	6	(C2xS4):2C10	480,1023

Non-split extensions G=N.Q with N=C₂xS₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xS₄).C₁₀ = C₂₀xS₄	φ: trivial image	60	3	(C2xS4).C10	480,1014

Extensions 1→N→G→Q→1 with N=C2xS4 and Q=C10