Extensions 1→N→G→Q→1 with N=C₁₀×A₄ and Q=C₂

Direct product G=N×Q with N=C₁₀×A₄ and Q=C₂

		d	ρ	Label	ID
A₄×C₂×C₁₀		60		A4xC2xC10	240,203

Semidirect products G=N:Q with N=C₁₀×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×A₄)⋊₁C₂ = C₂×C₅⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×A₄	30	6+	(C10xA4):1C2	240,197
(C₁₀×A₄)⋊₂C₂ = C₂×D₅×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×A₄	30	6+	(C10xA4):2C2	240,198
(C₁₀×A₄)⋊₃C₂ = C₁₀×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×A₄	30	3	(C10xA4):3C2	240,196

Non-split extensions G=N.Q with N=C₁₀×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×A₄).₁C₂ = A₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×A₄	60	6-	(C10xA4).1C2	240,107
(C₁₀×A₄).₂C₂ = A₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×A₄	60	6-	(C10xA4).2C2	240,110
(C₁₀×A₄).₃C₂ = C₅×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×A₄	60	3	(C10xA4).3C2	240,104
(C₁₀×A₄).₄C₂ = A₄×C₂₀	φ: trivial image	60	3	(C10xA4).4C2	240,152

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