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

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

		d	ρ	Label	ID
C₃×Q₈.D₁₀		240	4	C3xQ8.D10	480,712

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.D₁₀) = D₁₂₀⋊C₂	φ: Q₈.D₁₀/C₈×D₅ → C₂ ⊆ Aut C₃	240	4+	C3:1(Q8.D10)	480,347
C₃⋊₂(Q₈.D₁₀) = D₄₀⋊₅S₃	φ: Q₈.D₁₀/D₄₀ → C₂ ⊆ Aut C₃	240	4	C3:2(Q8.D10)	480,353
C₃⋊₃(Q₈.D₁₀) = D₂₀.₁₆D₆	φ: Q₈.D₁₀/Q₈⋊D₅ → C₂ ⊆ Aut C₃	240	8+	C3:3(Q8.D10)	480,597
C₃⋊₄(Q₈.D₁₀) = D₁₂₀⋊₈C₂	φ: Q₈.D₁₀/C₅×Q₁₆ → C₂ ⊆ Aut C₃	240	4+	C3:4(Q8.D10)	480,884
C₃⋊₅(Q₈.D₁₀) = D₂₀.D₆	φ: Q₈.D₁₀/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	240	8+	C3:5(Q8.D10)	480,592

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