Extensions 1→N→G→Q→1 with N=C₁₀xS₄ and Q=C₂

Direct product G=NxQ with N=C₁₀xS₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₁₀xS₄		60		C2xC10xS4	480,1198

Semidirect products G=N:Q with N=C₁₀xS₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xS₄):₁C₂ = Dic₅:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xS₄	60	6	(C10xS4):1C2	480,978
(C₁₀xS₄):₂C₂ = D₁₀:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xS₄	60	6	(C10xS4):2C2	480,980
(C₁₀xS₄):₃C₂ = C₂xD₅xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xS₄	30	6+	(C10xS4):3C2	480,1193
(C₁₀xS₄):₄C₂ = C₅xC₄:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xS₄	60	6	(C10xS4):4C2	480,1015
(C₁₀xS₄):₅C₂ = C₅xA₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xS₄	60	6	(C10xS4):5C2	480,1023

Non-split extensions G=N.Q with N=C₁₀xS₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xS₄).C₂ = Dic₅xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xS₄	60	6-	(C10xS4).C2	480,976
(C₁₀xS₄).₂C₂ = C₂₀xS₄	φ: trivial image	60	3	(C10xS4).2C2	480,1014

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