Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xC₄xA₄

Direct product G=NxQ with N=C₅ and Q=C₂xC₄xA₄

		d	ρ	Label	ID
A₄xC₂xC₂₀		120		A4xC2xC20	480,1126

Semidirect products G=N:Q with N=C₅ and Q=C₂xC₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₂xC₄xA₄) = C₂xA₄xF₅	φ: C₂xC₄xA₄/C₂xA₄ → C₄ ⊆ Aut C₅	30	12+	C5:(C2xC4xA4)	480,1192
C₅:₂(C₂xC₄xA₄) = C₄xD₅xA₄	φ: C₂xC₄xA₄/C₄xA₄ → C₂ ⊆ Aut C₅	60	6	C5:2(C2xC4xA4)	480,1036
C₅:₃(C₂xC₄xA₄) = C₂xA₄xDic₅	φ: C₂xC₄xA₄/C₂²xA₄ → C₂ ⊆ Aut C₅	120		C5:3(C2xC4xA4)	480,1044

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