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

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

		d	ρ	Label	ID
S₃×C₉⋊C₉		162		S3xC9:C9	486,97

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₉⋊₁S₃ = C₉⋊C₉⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	27	18+	C9:C9:1S3	486,41
C₉⋊C₉⋊₂S₃ = C₉⋊C₉⋊₂S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	54	6	C9:C9:2S3	486,152
C₉⋊C₉⋊₃S₃ = C₉²⋊₆S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	18	6	C9:C9:3S3	486,153
C₉⋊C₉⋊₄S₃ = C₉²⋊₅S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	54	6	C9:C9:4S3	486,156
C₉⋊C₉⋊₅S₃ = C₉⋊(S₃×C₉)	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₉	54		C9:C9:5S3	486,138
C₉⋊C₉⋊₆S₃ = C₉²⋊₃S₃	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₉	54	6	C9:C9:6S3	486,139

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₉.₁S₃ = C₂₇⋊C₁₈	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	27	18+	C9:C9.1S3	486,31
C₉⋊C₉.₂S₃ = C₉⋊C₉.S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	27	18+	C9:C9.2S3	486,39
C₉⋊C₉.₃S₃ = C₉⋊C₉.₃S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉⋊C₉	27	18+	C9:C9.3S3	486,40

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