Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.₆D₆

Direct product G=N×Q with N=C₅ and Q=C₈.₆D₆

		d	ρ	Label	ID
C₅×C₈.₆D₆		240	4	C5xC8.6D6	480,147

Semidirect products G=N:Q with N=C₅ and Q=C₈.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.₆D₆) = C₂₄.D₁₀	φ: C₈.₆D₆/C₃⋊C₁₆ → C₂ ⊆ Aut C₅	240	4+	C5:1(C8.6D6)	480,19
C₅⋊₂(C₈.₆D₆) = C₁₅⋊SD₃₂	φ: C₈.₆D₆/D₂₄ → C₂ ⊆ Aut C₅	240	4	C5:2(C8.6D6)	480,17
C₅⋊₃(C₈.₆D₆) = C₈.₆D₃₀	φ: C₈.₆D₆/C₃×Q₁₆ → C₂ ⊆ Aut C₅	240	4+	C5:3(C8.6D6)	480,188

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