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

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

		d	ρ	Label	ID
C₅×C₂₄.C₄		240	2	C5xC24.C4	480,138

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂₄.C₄) = C₄₀.Dic₃	φ: C₂₄.C₄/C₂₄ → C₄ ⊆ Aut C₅	240	4	C5:1(C24.C4)	480,300
C₅⋊₂(C₂₄.C₄) = C₂₄.₁F₅	φ: C₂₄.C₄/C₂₄ → C₄ ⊆ Aut C₅	240	4	C5:2(C24.C4)	480,301
C₅⋊₃(C₂₄.C₄) = C₆₀.₁₀₅D₄	φ: C₂₄.C₄/C₄.Dic₃ → C₂ ⊆ Aut C₅	240	4	C5:3(C24.C4)	480,67
C₅⋊₄(C₂₄.C₄) = C₄.₁₈D₆₀	φ: C₂₄.C₄/C₂×C₂₄ → C₂ ⊆ Aut C₅	240	2	C5:4(C24.C4)	480,179

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