Extensions 1→N→G→Q→1 with N=C₃:S₃ and Q=D₁₀

Direct product G=NxQ with N=C₃:S₃ and Q=D₁₀

		d	ρ	Label	ID
C₂xD₅xC₃:S₃		90		C2xD5xC3:S3	360,152

Semidirect products G=N:Q with N=C₃:S₃ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃:₁D₁₀ = S₃²xD₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₃:S₃	30	8+	C3:S3:1D10	360,137
C₃:S₃:₂D₁₀ = C₂xD₁₅:S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃:S₃	60	4	C3:S3:2D10	360,155

Non-split extensions G=N.Q with N=C₃:S₃ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃.₁D₁₀ = S₃²:D₅	φ: D₁₀/C₅ → C₂² ⊆ Out C₃:S₃	30	4	C3:S3.1D10	360,133
C₃:S₃.₂D₁₀ = C₃²:D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃:S₃	30	8+	C3:S3.2D10	360,134
C₃:S₃.₃D₁₀ = C₃²:Dic₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃:S₃	45	8	C3:S3.3D10	360,136
C₃:S₃.₄D₁₀ = D₅xC₃²:C₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₃:S₃	30	8+	C3:S3.4D10	360,130
C₃:S₃.₅D₁₀ = C₂xC₃²:Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃:S₃	60	4	C3:S3.5D10	360,149

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