Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₂×C₁₀

Direct product G=N×Q with N=C₃ and Q=S₃×C₂×C₁₀

		d	ρ	Label	ID
S₃×C₂×C₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₂×C₁₀) = S₃²×C₁₀	φ: S₃×C₂×C₁₀/S₃×C₁₀ → C₂ ⊆ Aut C₃	60	4	C3:1(S3xC2xC10)	360,153
C₃⋊₂(S₃×C₂×C₁₀) = C₃⋊S₃×C₂×C₁₀	φ: S₃×C₂×C₁₀/C₂×C₃₀ → C₂ ⊆ Aut C₃	180		C3:2(S3xC2xC10)	360,160

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₂×C₁₀) = D₉×C₂×C₁₀	φ: S₃×C₂×C₁₀/C₂×C₃₀ → C₂ ⊆ Aut C₃	180		C3.(S3xC2xC10)	360,48

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Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C2×C10