Extensions 1→N→G→Q→1 with N=C₃²×D₅ and Q=C₃

Direct product G=N×Q with N=C₃²×D₅ and Q=C₃

		d	ρ	Label	ID
D₅×C₃³		135		D5xC3^3	270,23

Semidirect products G=N:Q with N=C₃²×D₅ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₅)⋊C₃ = D₅×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₅	45	6	(C3^2xD5):C3	270,6

Non-split extensions G=N.Q with N=C₃²×D₅ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₅).C₃ = D₅×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₅	45	6	(C3^2xD5).C3	270,7
(C₃²×D₅).₂C₃ = D₅×C₃×C₉	φ: trivial image	135		(C3^2xD5).2C3	270,5

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Extensions 1→N→G→Q→1 with N=C32×D5 and Q=C3