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		120	4	C5xC8:D6	480,787

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) = C₂₄⋊D₁₀	φ: C₈⋊D₆/C₂₄⋊C₂ → C₂ ⊆ Aut C₅	120	4+	C5:1(C8:D6)	480,325
C₅⋊₂(C₈⋊D₆) = D₂₄⋊D₅	φ: C₈⋊D₆/D₂₄ → C₂ ⊆ Aut C₅	120	4	C5:2(C8:D6)	480,326
C₅⋊₃(C₈⋊D₆) = C₈⋊D₃₀	φ: C₈⋊D₆/C₃×M₄(2) → C₂ ⊆ Aut C₅	120	4+	C5:3(C8:D6)	480,873
C₅⋊₄(C₈⋊D₆) = D₆₀⋊₃₆C₂²	φ: C₈⋊D₆/C₂×D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:4(C8:D6)	480,380
C₅⋊₅(C₈⋊D₆) = C₆₀.₃₈D₄	φ: C₈⋊D₆/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4+	C5:5(C8:D6)	480,381

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