Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²×D₉

Direct product G=N×Q with N=C₃ and Q=C₃²×D₉

		d	ρ	Label	ID
D₉×C₃³		162		D9xC3^3	486,220

Semidirect products G=N:Q with N=C₃ and Q=C₃²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²×D₉) = C₃²×C₉⋊S₃	φ: C₃²×D₉/C₃²×C₉ → C₂ ⊆ Aut C₃	54		C3:(C3^2xD9)	486,227

Non-split extensions G=N.Q with N=C₃ and Q=C₃²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×D₉) = C₃×C₃²⋊D₉	φ: C₃²×D₉/C₃²×C₉ → C₂ ⊆ Aut C₃	54		C3.1(C3^2xD9)	486,94
C₃.₂(C₃²×D₉) = C₃²×D₂₇	φ: C₃²×D₉/C₃²×C₉ → C₂ ⊆ Aut C₃	162		C3.2(C3^2xD9)	486,111
C₃.₃(C₃²×D₉) = C₃×C₂₇⋊C₆	φ: C₃²×D₉/C₃²×C₉ → C₂ ⊆ Aut C₃	54	6	C3.3(C3^2xD9)	486,113
C₃.₄(C₃²×D₉) = D₉×C₃×C₉	central extension (φ=1)	54		C3.4(C3^2xD9)	486,91
C₃.₅(C₃²×D₉) = D₉×He₃	central stem extension (φ=1)	54	6	C3.5(C3^2xD9)	486,99
C₃.₆(C₃²×D₉) = D₉×3_-¹⁺²	central stem extension (φ=1)	54	6	C3.6(C3^2xD9)	486,101

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