Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄xC₂₄

Direct product G=NxQ with N=C₅ and Q=C₄xC₂₄

		d	ρ	Label	ID
C₄xC₁₂₀		480		C4xC120	480,199

Semidirect products G=N:Q with N=C₅ and Q=C₄xC₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₄xC₂₄) = F₅xC₂₄	φ: C₄xC₂₄/C₂₄ → C₄ ⊆ Aut C₅	120	4	C5:1(C4xC24)	480,271
C₅:₂(C₄xC₂₄) = C₁₂xC₅:C₈	φ: C₄xC₂₄/C₂xC₁₂ → C₄ ⊆ Aut C₅	480		C5:2(C4xC24)	480,280
C₅:₃(C₄xC₂₄) = C₁₂xC₅:₂C₈	φ: C₄xC₂₄/C₄xC₁₂ → C₂ ⊆ Aut C₅	480		C5:3(C4xC24)	480,80
C₅:₄(C₄xC₂₄) = Dic₅xC₂₄	φ: C₄xC₂₄/C₂xC₂₄ → C₂ ⊆ Aut C₅	480		C5:4(C4xC24)	480,91

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