Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²×C₁₀

Direct product G=N×Q with N=C₃² and Q=C₂²×C₁₀

		d	ρ	Label	ID
C₂×C₆×C₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₃² and Q=C₂²×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₂²×C₁₀) = S₃²×C₁₀	φ: C₂²×C₁₀/C₁₀ → C₂² ⊆ Aut C₃²	60	4	C3^2:(C2^2xC10)	360,153
C₃²⋊₂(C₂²×C₁₀) = S₃×C₂×C₃₀	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Aut C₃²	120		C3^2:2(C2^2xC10)	360,158
C₃²⋊₃(C₂²×C₁₀) = C₃⋊S₃×C₂×C₁₀	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Aut C₃²	180		C3^2:3(C2^2xC10)	360,160

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