Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×C₂₀

Direct product G=N×Q with N=C₃ and Q=Q₈×C₂₀

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

Semidirect products G=N:Q with N=C₃ and Q=Q₈×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈×C₂₀) = C₂₀×Dic₆	φ: Q₈×C₂₀/C₄×C₂₀ → C₂ ⊆ Aut C₃	480		C3:1(Q8xC20)	480,747
C₃⋊₂(Q₈×C₂₀) = C₅×Dic₆⋊C₄	φ: Q₈×C₂₀/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	480		C3:2(Q8xC20)	480,766
C₃⋊₃(Q₈×C₂₀) = C₅×Q₈×Dic₃	φ: Q₈×C₂₀/Q₈×C₁₀ → C₂ ⊆ Aut C₃	480		C3:3(Q8xC20)	480,824

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