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

Direct product G=NxQ with N=C₅ and Q=C₂₄:₁C₄

		d	ρ	Label	ID
C₅xC₂₄:₁C₄		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/C₂xC₂₄ → C₂ ⊆ Aut C₅	480		C5:3(C24:1C4)	480,178

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