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

Direct product G=NxQ with N=C₃² and Q=D₉

		d	ρ	Label	ID
C₃²xD₉		54		C3^2xD9	162,32

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁D₉ = C₃²:D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃²	27		C3^2:1D9	162,5
C₃²:₂D₉ = C₃²:₂D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃²	18	6	C3^2:2D9	162,17
C₃²:₃D₉ = C₃xC₉:S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₃²	54		C3^2:3D9	162,38
C₃²:₄D₉ = C₃²:₄D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₃²	81		C3^2:4D9	162,45

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₉ = C₂₇:C₆	φ: D₉/C₃ → S₃ ⊆ Aut C₃²	27	6+	C3^2.D9	162,9
C₃².₂D₉ = C₃xD₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₃²	54	2	C3^2.2D9	162,7
C₃².₃D₉ = C₂₇:S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₃²	81		C3^2.3D9	162,18

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