Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃×C₉

Direct product G=N×Q with N=C₉ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₉²		162		S3xC9^2	486,92

Semidirect products G=N:Q with N=C₉ and Q=S₃×C₉

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

Non-split extensions G=N.Q with N=C₉ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃×C₉) = C₂₇⋊C₁₈	φ: S₃×C₉/C₃² → C₆ ⊆ Aut C₉	27	18+	C9.(S3xC9)	486,31
C₉.₂(S₃×C₉) = S₃×C₂₇⋊C₃	φ: S₃×C₉/C₃×S₃ → C₃ ⊆ Aut C₉	54	6	C9.2(S3xC9)	486,114
C₉.₃(S₃×C₉) = C₉×D₂₇	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₉	54	2	C9.3(S3xC9)	486,13
C₉.₄(S₃×C₉) = C₂₇⋊₃C₁₈	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₉	54	6	C9.4(S3xC9)	486,15
C₉.₅(S₃×C₉) = C₉²⋊₃S₃	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₉	54	6	C9.5(S3xC9)	486,139
C₉.₆(S₃×C₉) = S₃×C₈₁	central extension (φ=1)	162	2	C9.6(S3xC9)	486,33
C₉.₇(S₃×C₉) = S₃×C₃×C₂₇	central extension (φ=1)	162		C9.7(S3xC9)	486,112

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