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

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

		d	ρ	Label	ID
C₅×C₈.D₆		240	4	C5xC8.D6	480,788

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.D₆) = Dic₆₀⋊C₂	φ: C₈.D₆/C₂₄⋊C₂ → C₂ ⊆ Aut C₅	240	4-	C5:1(C8.D6)	480,336
C₅⋊₂(C₈.D₆) = C₂₄.₂D₁₀	φ: C₈.D₆/Dic₁₂ → C₂ ⊆ Aut C₅	240	4	C5:2(C8.D6)	480,337
C₅⋊₃(C₈.D₆) = C₈.D₃₀	φ: C₈.D₆/C₃×M₄(2) → C₂ ⊆ Aut C₅	240	4-	C5:3(C8.D6)	480,874
C₅⋊₄(C₈.D₆) = C₂₀.D₁₂	φ: C₈.D₆/C₂×Dic₆ → C₂ ⊆ Aut C₅	240	4	C5:4(C8.D6)	480,397
C₅⋊₅(C₈.D₆) = D₁₂.₃₃D₁₀	φ: C₈.D₆/C₄○D₁₂ → C₂ ⊆ Aut C₅	240	4-	C5:5(C8.D6)	480,398

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