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

Direct product G=N×Q with N=C₅ and Q=C₂₄⋊₁C₄

		d	ρ	Label	ID
C₅×C₂₄⋊₁C₄		480		C5xC24:1C4	480,137

Semidirect products G=N:Q with N=C₅ and Q=C₂₄⋊₁C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂₄⋊₁C₄) = D₅.D₂₄	φ: C₂₄⋊₁C₄/C₂₄ → C₄ ⊆ Aut C₅	120	4	C5:(C24:1C4)	480,299
C₅⋊₂(C₂₄⋊₁C₄) = C₆₀.₈Q₈	φ: C₂₄⋊₁C₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	480		C5:2(C24:1C4)	480,64
C₅⋊₃(C₂₄⋊₁C₄) = C₁₂₀⋊₉C₄	φ: C₂₄⋊₁C₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	480		C5:3(C24:1C4)	480,178

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