Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₆D₁₀

Direct product G=N×Q with N=C₃ and Q=D₄⋊₆D₁₀

		d	ρ	Label	ID
C₃×D₄⋊₆D₁₀		120	4	C3xD4:6D10	480,1141

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₆D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₆D₁₀) = D₂₀⋊₂₆D₆	φ: D₄⋊₆D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:1(D4:6D10)	480,1094
C₃⋊₂(D₄⋊₆D₁₀) = D₂₀⋊₁₃D₆	φ: D₄⋊₆D₁₀/D₄×D₅ → C₂ ⊆ Aut C₃	120	8-	C3:2(D4:6D10)	480,1101
C₃⋊₃(D₄⋊₆D₁₀) = D₁₂⋊₁₄D₁₀	φ: D₄⋊₆D₁₀/D₄⋊₂D₅ → C₂ ⊆ Aut C₃	120	8+	C3:3(D4:6D10)	480,1103
C₃⋊₄(D₄⋊₆D₁₀) = C₁₅⋊2₊¹⁺⁴	φ: D₄⋊₆D₁₀/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	120	4	C3:4(D4:6D10)	480,1125
C₃⋊₅(D₄⋊₆D₁₀) = D₄⋊₆D₃₀	φ: D₄⋊₆D₁₀/D₄×C₁₀ → C₂ ⊆ Aut C₃	120	4	C3:5(D4:6D10)	480,1171

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