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

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

		d	ρ	Label	ID
C₃×C₂³⋊D₁₀		120		C3xC2^3:D10	480,730

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³⋊D₁₀) = D₃₀⋊₄D₄	φ: C₂³⋊D₁₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	120		C3:1(C2^3:D10)	480,551
C₃⋊₂(C₂³⋊D₁₀) = D₃₀⋊₁₉D₄	φ: C₂³⋊D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	120		C3:2(C2^3:D10)	480,649
C₃⋊₃(C₂³⋊D₁₀) = D₃₀⋊₈D₄	φ: C₂³⋊D₁₀/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	120		C3:3(C2^3:D10)	480,653
C₃⋊₄(C₂³⋊D₁₀) = D₃₀⋊₁₇D₄	φ: C₂³⋊D₁₀/D₄×C₁₀ → C₂ ⊆ Aut C₃	120		C3:4(C2^3:D10)	480,902
C₃⋊₅(C₂³⋊D₁₀) = (C₂×C₃₀)⋊D₄	φ: C₂³⋊D₁₀/C₂³×D₅ → C₂ ⊆ Aut C₃	120		C3:5(C2^3:D10)	480,639

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