Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₁₀

Direct product G=N×Q with N=C₃×C₉ and Q=C₁₀

		d	ρ	Label	ID
C₃×C₉₀		270		C3xC90	270,20

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₁₀ = S₃×C₄₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₉	90	2	(C3xC9):1C10	270,9
(C₃×C₉)⋊₂C₁₀ = C₁₅×D₉	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₉	90	2	(C3xC9):2C10	270,8
(C₃×C₉)⋊₃C₁₀ = C₅×C₉⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₉	135		(C3xC9):3C10	270,16

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