Extensions 1→N→G→Q→1 with N=C₃²xC₁₅ and Q=C₃

Direct product G=NxQ with N=C₃²xC₁₅ and Q=C₃

		d	ρ	Label	ID
C₃³xC₁₅		405		C3^3xC15	405,16

Semidirect products G=N:Q with N=C₃²xC₁₅ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²xC₁₅):₁C₃ = C₅xC₃wrC₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₁₅	45	3	(C3^2xC15):1C3	405,7
(C₃²xC₁₅):₂C₃ = C₁₅xHe₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₁₅	135		(C3^2xC15):2C3	405,12

Non-split extensions G=N.Q with N=C₃²xC₁₅ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²xC₁₅).₁C₃ = C₅xC₃²:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₁₅	135		(C3^2xC15).1C3	405,3
(C₃²xC₁₅).₂C₃ = C₁₅x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²xC₁₅	135		(C3^2xC15).2C3	405,13

Extensions 1→N→G→Q→1 with N=C32xC15 and Q=C3