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

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

		d	ρ	Label	ID
C₉×C₉⋊S₃		54		C9xC9:S3	486,133

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₉⋊S₃) = C₉²⋊₈S₃	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₉	243		C9:(C9:S3)	486,180

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁(C₉⋊S₃) = C₉⋊D₂₇	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₉	243		C9.1(C9:S3)	486,50
C₉.₂(C₉⋊S₃) = C₈₁⋊S₃	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₉	243		C9.2(C9:S3)	486,60
C₉.₃(C₉⋊S₃) = C₃²⋊₄D₂₇	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₉	243		C9.3(C9:S3)	486,184
C₉.₄(C₉⋊S₃) = C₉²⋊₄S₃	central extension (φ=1)	54	6	C9.4(C9:S3)	486,140

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