Extensions 1→N→G→Q→1 with N=C₅×A₄ and Q=D₄

Direct product G=N×Q with N=C₅×A₄ and Q=D₄

		d	ρ	Label	ID
C₅×D₄×A₄		60	6	C5xD4xA4	480,1127

Semidirect products G=N:Q with N=C₅×A₄ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×A₄)⋊₁D₄ = Dic₅⋊S₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×A₄	60	6	(C5xA4):1D4	480,978
(C₅×A₄)⋊₂D₄ = D₁₀⋊S₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×A₄	60	6	(C5xA4):2D4	480,980
(C₅×A₄)⋊₃D₄ = A₄⋊D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×A₄	60	6+	(C5xA4):3D4	480,981
(C₅×A₄)⋊₄D₄ = C₂₀⋊S₄	φ: D₄/C₄ → C₂ ⊆ Out C₅×A₄	60	6+	(C5xA4):4D4	480,1026
(C₅×A₄)⋊₅D₄ = A₄×D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×A₄	60	6+	(C5xA4):5D4	480,1037
(C₅×A₄)⋊₆D₄ = C₅×C₄⋊S₄	φ: D₄/C₄ → C₂ ⊆ Out C₅×A₄	60	6	(C5xA4):6D4	480,1015
(C₅×A₄)⋊₇D₄ = C₂⁴⋊₂D₁₅	φ: D₄/C₂² → C₂ ⊆ Out C₅×A₄	60	6	(C5xA4):7D4	480,1034
(C₅×A₄)⋊₈D₄ = A₄×C₅⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×A₄	60	6	(C5xA4):8D4	480,1045
(C₅×A₄)⋊₉D₄ = C₅×A₄⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×A₄	60	6	(C5xA4):9D4	480,1023

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