Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×C₂×C₁₀

Direct product G=N×Q with N=C₃ and Q=Q₈×C₂×C₁₀

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₃ and Q=Q₈×C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈×C₂×C₁₀) = C₂×C₁₀×Dic₆	φ: Q₈×C₂×C₁₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	480		C3:1(Q8xC2xC10)	480,1150
C₃⋊₂(Q₈×C₂×C₁₀) = S₃×Q₈×C₁₀	φ: Q₈×C₂×C₁₀/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240		C3:2(Q8xC2xC10)	480,1157

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