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

Direct product G=N×Q with N=C₃⋊S₃ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×C₃⋊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 = S₃²×D₅	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊S₃	30	8+	C3:S3:1D10	360,137
C₃⋊S₃⋊₂D₁₀ = C₂×D₁₅⋊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 = D₅×C₃²⋊C₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊S₃	30	8+	C3:S3.4D10	360,130
C₃⋊S₃.₅D₁₀ = C₂×C₃²⋊Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊S₃	60	4	C3:S3.5D10	360,149

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