Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₁₀

Direct product G=N×Q with N=C₃³ and Q=C₁₀

		d	ρ	Label	ID
C₃²×C₃₀		270		C3^2xC30	270,30

Semidirect products G=N:Q with N=C₃³ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁C₁₀ = S₃×C₃×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃³	90		C3^3:1C10	270,24
C₃³⋊₂C₁₀ = C₁₅×C₃⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃³	90		C3^3:2C10	270,26
C₃³⋊₃C₁₀ = C₅×C₃³⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃³	135		C3^3:3C10	270,28

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