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

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

		d	ρ	Label	ID
C₁₂₀		120	1	C120	120,4

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₂₄ = C₃×C₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₅	120	4	C5:C24	120,6
C₅⋊₂C₂₄ = C₃×C₅⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₅	120	2	C5:2C24	120,2

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