Extensions 1→N→G→Q→1 with N=C₅×A₄ and Q=C₂²

Direct product G=N×Q with N=C₅×A₄ and Q=C₂²

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

Semidirect products G=N:Q with N=C₅×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄)⋊C₂² = D₅×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×A₄	20	6+	(C5xA4):C2^2	240,194
(C₅×A₄)⋊₂C₂² = C₂×C₅⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×A₄	30	6+	(C5xA4):2C2^2	240,197
(C₅×A₄)⋊₃C₂² = C₂×D₅×A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×A₄	30	6+	(C5xA4):3C2^2	240,198
(C₅×A₄)⋊₄C₂² = C₁₀×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×A₄	30	3	(C5xA4):4C2^2	240,196

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