Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.₁₀D₁₀

Direct product G=N×Q with N=C₃ and Q=Q₈.₁₀D₁₀

		d	ρ	Label	ID
C₃×Q₈.₁₀D₁₀		240	4	C3xQ8.10D10	480,1144

Semidirect products G=N:Q with N=C₃ and Q=Q₈.₁₀D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.₁₀D₁₀) = D₂₀.₃₈D₆	φ: Q₈.₁₀D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	240	4	C3:1(Q8.10D10)	480,1076
C₃⋊₂(Q₈.₁₀D₁₀) = C₃₀.₃₃C₂⁴	φ: Q₈.₁₀D₁₀/Q₈×D₅ → C₂ ⊆ Aut C₃	240	8+	C3:2(Q8.10D10)	480,1105
C₃⋊₃(Q₈.₁₀D₁₀) = D₂₀.₂₉D₆	φ: Q₈.₁₀D₁₀/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	240	8-	C3:3(Q8.10D10)	480,1104
C₃⋊₄(Q₈.₁₀D₁₀) = Q₈.₁₅D₃₀	φ: Q₈.₁₀D₁₀/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240	4	C3:4(Q8.10D10)	480,1174

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