Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃×C₃²

Direct product G=N×Q with N=C₉ and Q=S₃×C₃²

		d	ρ	Label	ID
S₃×C₃²×C₉		162		S3xC3^2xC9	486,221

Semidirect products G=N:Q with N=C₉ and Q=S₃×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(S₃×C₃²) = C₃×C₃³.S₃	φ: S₃×C₃²/C₃² → C₆ ⊆ Aut C₉	54		C9:(S3xC3^2)	486,232
C₉⋊₂(S₃×C₃²) = C₃×S₃×3_-¹⁺²	φ: S₃×C₃²/C₃×S₃ → C₃ ⊆ Aut C₉	54		C9:2(S3xC3^2)	486,225
C₉⋊₃(S₃×C₃²) = C₃²×C₉⋊S₃	φ: S₃×C₃²/C₃³ → C₂ ⊆ Aut C₉	54		C9:3(S3xC3^2)	486,227

Non-split extensions G=N.Q with N=C₉ and Q=S₃×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃×C₃²) = 3_-¹⁺⁴⋊C₂	φ: S₃×C₃²/C₃² → C₆ ⊆ Aut C₉	27	18+	C9.(S3xC3^2)	486,238
C₉.₂(S₃×C₃²) = S₃×C₉○He₃	φ: S₃×C₃²/C₃×S₃ → C₃ ⊆ Aut C₉	54	6	C9.2(S3xC3^2)	486,226
C₉.₃(S₃×C₃²) = C₃²×D₂₇	φ: S₃×C₃²/C₃³ → C₂ ⊆ Aut C₉	162		C9.3(S3xC3^2)	486,111
C₉.₄(S₃×C₃²) = C₃×C₂₇⋊C₆	φ: S₃×C₃²/C₃³ → C₂ ⊆ Aut C₉	54	6	C9.4(S3xC3^2)	486,113
C₉.₅(S₃×C₃²) = C₃×He₃.₄S₃	φ: S₃×C₃²/C₃³ → C₂ ⊆ Aut C₉	54	6	C9.5(S3xC3^2)	486,234
C₉.₆(S₃×C₃²) = S₃×C₃×C₂₇	central extension (φ=1)	162		C9.6(S3xC3^2)	486,112
C₉.₇(S₃×C₃²) = S₃×C₂₇⋊C₃	central extension (φ=1)	54	6	C9.7(S3xC3^2)	486,114

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