Extensions 1→N→G→Q→1 with N=C₃²xD₅ and Q=C₃

Direct product G=NxQ with N=C₃²xD₅ and Q=C₃

		d	ρ	Label	ID
D₅xC₃³		135		D5xC3^3	270,23

Semidirect products G=N:Q with N=C₃²xD₅ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xD₅):C₃ = D₅xHe₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²xD₅	45	6	(C3^2xD5):C3	270,6

Non-split extensions G=N.Q with N=C₃²xD₅ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²xD₅).C₃ = D₅x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²xD₅	45	6	(C3^2xD5).C3	270,7
(C₃²xD₅).₂C₃ = D₅xC₃xC₉	φ: trivial image	135		(C3^2xD5).2C3	270,5

Extensions 1→N→G→Q→1 with N=C32xD5 and Q=C3