Extensions 1→N→G→Q→1 with N=C₉² and Q=S₃

Direct product G=N×Q with N=C₉² and Q=S₃

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

Semidirect products G=N:Q with N=C₉² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉²⋊₁S₃ = C₉²⋊S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	27	6+	C9^2:1S3	486,36
C₉²⋊₂S₃ = C₉²⋊₂S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	27	3	C9^2:2S3	486,61
C₉²⋊₃S₃ = C₉²⋊₃S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	54	6	C9^2:3S3	486,139
C₉²⋊₄S₃ = C₉²⋊₄S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	54	6	C9^2:4S3	486,140
C₉²⋊₅S₃ = C₉²⋊₅S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	54	6	C9^2:5S3	486,156
C₉²⋊₆S₃ = C₉²⋊₆S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	18	6	C9^2:6S3	486,153
C₉²⋊₇S₃ = C₉×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₉²	54		C9^2:7S3	486,133
C₉²⋊₈S₃ = C₉²⋊₈S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₉²	243		C9^2:8S3	486,180

Non-split extensions G=N.Q with N=C₉² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉².₁S₃ = C₂₇⋊₃C₁₈	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	54	6	C9^2.1S3	486,15
C₉².₂S₃ = C₉².S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₉²	27	6+	C9^2.2S3	486,38
C₉².₃S₃ = C₉×D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₉²	54	2	C9^2.3S3	486,13
C₉².₄S₃ = C₉⋊D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₉²	243		C9^2.4S3	486,50

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