Extensions 1→N→G→Q→1 with N=C₃³ and Q=D₉

Direct product G=NxQ with N=C₃³ and Q=D₉

		d	ρ	Label	ID
D₉xC₃³		162		D9xC3^3	486,220

Semidirect products G=N:Q with N=C₃³ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³:₁D₉ = C₃³:₁D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	18	6	C3^3:1D9	486,19
C₃³:₂D₉ = C₃³:₂D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	27		C3^3:2D9	486,52
C₃³:₃D₉ = C₃xC₃²:D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	54		C3^3:3D9	486,94
C₃³:₄D₉ = C₃xC₃²:₂D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	54		C3^3:4D9	486,135
C₃³:₅D₉ = C₃³:D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	81		C3^3:5D9	486,137
C₃³:₆D₉ = C₃³:₆D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	54		C3^3:6D9	486,181
C₃³:₇D₉ = C₃²xC₉:S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	54		C3^3:7D9	486,227
C₃³:₈D₉ = C₃xC₃²:₄D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	162		C3^3:8D9	486,240
C₃³:₉D₉ = C₃³:₉D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	243		C3^3:9D9	486,247

Non-split extensions G=N.Q with N=C₃³ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³.₁D₉ = C₃²:D₂₇	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	81		C3^3.1D9	486,17
C₃³.₂D₉ = C₃²:₂D₂₇	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	54	6	C3^3.2D9	486,51
C₃³.₃D₉ = C₃³.D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	27	6+	C3^3.3D9	486,55
C₃³.₄D₉ = C₃xC₂₇:C₆	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	54	6	C3^3.4D9	486,113
C₃³.₅D₉ = C₃³.₅D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	81		C3^3.5D9	486,162
C₃³.₆D₉ = C₃²xD₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	162		C3^3.6D9	486,111
C₃³.₇D₉ = C₃xC₂₇:S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	162		C3^3.7D9	486,160
C₃³.₈D₉ = C₃²:₄D₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	243		C3^3.8D9	486,184

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