Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×C₂₄

Direct product G=N×Q with N=C₅ and Q=C₄×C₂₄

		d	ρ	Label	ID
C₄×C₁₂₀		480		C4xC120	480,199

Semidirect products G=N:Q with N=C₅ and Q=C₄×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄×C₂₄) = F₅×C₂₄	φ: C₄×C₂₄/C₂₄ → C₄ ⊆ Aut C₅	120	4	C5:1(C4xC24)	480,271
C₅⋊₂(C₄×C₂₄) = C₁₂×C₅⋊C₈	φ: C₄×C₂₄/C₂×C₁₂ → C₄ ⊆ Aut C₅	480		C5:2(C4xC24)	480,280
C₅⋊₃(C₄×C₂₄) = C₁₂×C₅⋊₂C₈	φ: C₄×C₂₄/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:3(C4xC24)	480,80
C₅⋊₄(C₄×C₂₄) = Dic₅×C₂₄	φ: C₄×C₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	480		C5:4(C4xC24)	480,91

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