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

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

		d	ρ	Label	ID
D₉×C₃³		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 = C₃×C₃²⋊D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₃³	54		C3^3:3D9	486,94
C₃³⋊₄D₉ = C₃×C₃²⋊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 = C₃²×C₉⋊S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	54		C3^3:7D9	486,227
C₃³⋊₈D₉ = C₃×C₃²⋊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 = C₃×C₂₇⋊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 = C₃²×D₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₃³	162		C3^3.6D9	486,111
C₃³.₇D₉ = C₃×C₂₇⋊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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