Extensions 1→N→G→Q→1 with N=C₉oHe₃ and Q=S₃

Direct product G=NxQ with N=C₉oHe₃ and Q=S₃

		d	ρ	Label	ID
S₃xC₉oHe₃		54	6	S3xC9oHe3	486,226

Semidirect products G=N:Q with N=C₉oHe₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉oHe₃:₁S₃ = C₃wrC₃.S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉oHe₃	27	6+	C9oHe3:1S3	486,175
C₉oHe₃:₂S₃ = C₃wrC₃:S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉oHe₃	27	6+	C9oHe3:2S3	486,189
C₉oHe₃:₃S₃ = C₉oHe₃:₃S₃	φ: S₃/C₃ → C₂ ⊆ Out C₉oHe₃	81		C9oHe3:3S3	486,245
C₉oHe₃:₄S₃ = C₉oHe₃:₄S₃	φ: S₃/C₃ → C₂ ⊆ Out C₉oHe₃	54	6	C9oHe3:4S3	486,246

Non-split extensions G=N.Q with N=C₉oHe₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉oHe₃.₁S₃ = He₃.D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉oHe₃	81	6+	C9oHe3.1S3	486,27
C₉oHe₃.₂S₃ = He₃.₂D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉oHe₃	81	6+	C9oHe3.2S3	486,29
C₉oHe₃.₃S₃ = He₃.₃D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉oHe₃	81	6+	C9oHe3.3S3	486,58
C₉oHe₃.₄S₃ = He₃.₄D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉oHe₃	81	6+	C9oHe3.4S3	486,59
C₉oHe₃.₅S₃ = He₃.₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₉oHe₃	81	6+	C9oHe3.5S3	486,163

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