Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₃D₁₀

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₃D₁₀

		d	ρ	Label	ID
C₃×C₂³.₂₃D₁₀		240		C3xC2^3.23D10	480,722

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₃D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₃D₁₀) = D₆⋊Dic₅⋊C₂	φ: C₂³.₂₃D₁₀/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(C2^3.23D10)	480,427
C₃⋊₂(C₂³.₂₃D₁₀) = D₁₀⋊C₄⋊S₃	φ: C₂³.₂₃D₁₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C2^3.23D10)	480,528
C₃⋊₃(C₂³.₂₃D₁₀) = C₁₀.(C₂×D₁₂)	φ: C₂³.₂₃D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:3(C2^3.23D10)	480,618
C₃⋊₄(C₂³.₂₃D₁₀) = (C₂×C₃₀).D₄	φ: C₂³.₂₃D₁₀/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:4(C2^3.23D10)	480,612
C₃⋊₅(C₂³.₂₃D₁₀) = C₂³.₂₈D₃₀	φ: C₂³.₂₃D₁₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:5(C2^3.23D10)	480,894

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