Extensions 1→N→G→Q→1 with N=C₃²×C₁₅ and Q=C₃

Direct product G=N×Q with N=C₃²×C₁₅ and Q=C₃

		d	ρ	Label	ID
C₃³×C₁₅		405		C3^3xC15	405,16

Semidirect products G=N:Q with N=C₃²×C₁₅ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₁₅)⋊₁C₃ = C₅×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₅	45	3	(C3^2xC15):1C3	405,7
(C₃²×C₁₅)⋊₂C₃ = C₁₅×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₅	135		(C3^2xC15):2C3	405,12

Non-split extensions G=N.Q with N=C₃²×C₁₅ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₁₅).₁C₃ = C₅×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₅	135		(C3^2xC15).1C3	405,3
(C₃²×C₁₅).₂C₃ = C₁₅×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₁₅	135		(C3^2xC15).2C3	405,13

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Extensions 1→N→G→Q→1 with N=C32×C15 and Q=C3