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

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

		d	ρ	Label	ID
C₃²×D₉		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 = C₃×C₉⋊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 = C₃×D₂₇	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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