Extensions 1→N→G→Q→1 with N=C₁₀xA₄ and Q=C₂

Direct product G=NxQ with N=C₁₀xA₄ and Q=C₂

		d	ρ	Label	ID
A₄xC₂xC₁₀		60		A4xC2xC10	240,203

Semidirect products G=N:Q with N=C₁₀xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xA₄):₁C₂ = C₂xC₅:S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xA₄	30	6+	(C10xA4):1C2	240,197
(C₁₀xA₄):₂C₂ = C₂xD₅xA₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xA₄	30	6+	(C10xA4):2C2	240,198
(C₁₀xA₄):₃C₂ = C₁₀xS₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xA₄	30	3	(C10xA4):3C2	240,196

Non-split extensions G=N.Q with N=C₁₀xA₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀xA₄).₁C₂ = A₄:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xA₄	60	6-	(C10xA4).1C2	240,107
(C₁₀xA₄).₂C₂ = A₄xDic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xA₄	60	6-	(C10xA4).2C2	240,110
(C₁₀xA₄).₃C₂ = C₅xA₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀xA₄	60	3	(C10xA4).3C2	240,104
(C₁₀xA₄).₄C₂ = A₄xC₂₀	φ: trivial image	60	3	(C10xA4).4C2	240,152

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