Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₂xC₁₀

Direct product G=NxQ with N=C₃ and Q=S₃xC₂xC₁₀

		d	ρ	Label	ID
S₃xC₂xC₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₂xC₁₀) = S₃²xC₁₀	φ: S₃xC₂xC₁₀/S₃xC₁₀ → C₂ ⊆ Aut C₃	60	4	C3:1(S3xC2xC10)	360,153
C₃:₂(S₃xC₂xC₁₀) = C₃:S₃xC₂xC₁₀	φ: S₃xC₂xC₁₀/C₂xC₃₀ → C₂ ⊆ Aut C₃	180		C3:2(S3xC2xC10)	360,160

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₂xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃xC₂xC₁₀) = D₉xC₂xC₁₀	φ: S₃xC₂xC₁₀/C₂xC₃₀ → C₂ ⊆ Aut C₃	180		C3.(S3xC2xC10)	360,48

Extensions 1→N→G→Q→1 with N=C3 and Q=S3xC2xC10