Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₉

Direct product G=N×Q with N=C₃²×C₆ and Q=C₉

		d	ρ	Label	ID
C₃³×C₁₈		486		C3^3xC18	486,250

Semidirect products G=N:Q with N=C₃²×C₆ and Q=C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆)⋊₁C₉ = C₂×C₃³⋊C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₃²×C₆	54		(C3^2xC6):1C9	486,73
(C₃²×C₆)⋊₂C₉ = C₆×C₃²⋊C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₃²×C₆	162		(C3^2xC6):2C9	486,191

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆).₁C₉ = C₂×C₃²⋊C₂₇	φ: C₉/C₃ → C₃ ⊆ Aut C₃²×C₆	162		(C3^2xC6).1C9	486,72
(C₃²×C₆).₂C₉ = C₂×C₉.₄He₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃²×C₆	54	3	(C3^2xC6).2C9	486,76
(C₃²×C₆).₃C₉ = C₆×C₂₇⋊C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₃²×C₆	162		(C3^2xC6).3C9	486,208

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Extensions 1→N→G→Q→1 with N=C32×C6 and Q=C9