Extensions 1→N→G→Q→1 with N=C₅ and Q=Q₈×C₁₂

Direct product G=N×Q with N=C₅ and Q=Q₈×C₁₂

		d	ρ	Label	ID
Q₈×C₆₀		480		Q8xC60	480,924

Semidirect products G=N:Q with N=C₅ and Q=Q₈×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Q₈×C₁₂) = C₃×Q₈×F₅	φ: Q₈×C₁₂/C₃×Q₈ → C₄ ⊆ Aut C₅	120	8	C5:(Q8xC12)	480,1056
C₅⋊₂(Q₈×C₁₂) = C₁₂×Dic₁₀	φ: Q₈×C₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₅	480		C5:2(Q8xC12)	480,661
C₅⋊₃(Q₈×C₁₂) = C₃×Dic₅⋊₃Q₈	φ: Q₈×C₁₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	480		C5:3(Q8xC12)	480,680
C₅⋊₄(Q₈×C₁₂) = C₃×Q₈×Dic₅	φ: Q₈×C₁₂/C₆×Q₈ → C₂ ⊆ Aut C₅	480		C5:4(Q8xC12)	480,738

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