Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃xC₉

Direct product G=NxQ with N=C₉ and Q=S₃xC₉

		d	ρ	Label	ID
S₃xC₉²		162		S3xC9^2	486,92

Semidirect products G=N:Q with N=C₉ and Q=S₃xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:(S₃xC₉) = C₉:(S₃xC₉)	φ: S₃xC₉/C₃² → C₆ ⊆ Aut C₉	54		C9:(S3xC9)	486,138
C₉:₂(S₃xC₉) = S₃xC₉:C₉	φ: S₃xC₉/C₃xS₃ → C₃ ⊆ Aut C₉	162		C9:2(S3xC9)	486,97
C₉:₃(S₃xC₉) = C₉xC₉:S₃	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₉	54		C9:3(S3xC9)	486,133

Non-split extensions G=N.Q with N=C₉ and Q=S₃xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃xC₉) = C₂₇:C₁₈	φ: S₃xC₉/C₃² → C₆ ⊆ Aut C₉	27	18+	C9.(S3xC9)	486,31
C₉.₂(S₃xC₉) = S₃xC₂₇:C₃	φ: S₃xC₉/C₃xS₃ → C₃ ⊆ Aut C₉	54	6	C9.2(S3xC9)	486,114
C₉.₃(S₃xC₉) = C₉xD₂₇	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₉	54	2	C9.3(S3xC9)	486,13
C₉.₄(S₃xC₉) = C₂₇:₃C₁₈	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₉	54	6	C9.4(S3xC9)	486,15
C₉.₅(S₃xC₉) = C₉²:₃S₃	φ: S₃xC₉/C₃xC₉ → C₂ ⊆ Aut C₉	54	6	C9.5(S3xC9)	486,139
C₉.₆(S₃xC₉) = S₃xC₈₁	central extension (φ=1)	162	2	C9.6(S3xC9)	486,33
C₉.₇(S₃xC₉) = S₃xC₃xC₂₇	central extension (φ=1)	162		C9.7(S3xC9)	486,112

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