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

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

		d	ρ	Label	ID
C₃xC₂³.D₁₀		240		C3xC2^3.D10	480,672

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) = C₅:(C₄²:₃S₃)	φ: C₂³.D₁₀/C₄xDic₅ → C₂ ⊆ Aut C₃	240		C3:1(C2^3.D10)	480,448
C₃:₂(C₂³.D₁₀) = C₆₀:₅C₄:C₂	φ: C₂³.D₁₀/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(C2^3.D10)	480,418
C₃:₃(C₂³.D₁₀) = D₆:Dic₅.C₂	φ: C₂³.D₁₀/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:3(C2^3.D10)	480,443
C₃:₄(C₂³.D₁₀) = D₆:C₄.D₅	φ: C₂³.D₁₀/C₄:Dic₅ → C₂ ⊆ Aut C₃	240		C3:4(C2^3.D10)	480,417
C₃:₅(C₂³.D₁₀) = C₂³.₁₃(S₃xD₅)	φ: C₂³.D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:5(C2^3.D10)	480,606
C₃:₆(C₂³.D₁₀) = C₂³.₁₄(S₃xD₅)	φ: C₂³.D₁₀/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:6(C2^3.D10)	480,607
C₃:₇(C₂³.D₁₀) = C₂³.₈D₃₀	φ: C₂³.D₁₀/C₅xC₂²:C₄ → C₂ ⊆ Aut C₃	240		C3:7(C2^3.D10)	480,844

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