Extensions 1→N→G→Q→1 with N=C₉○He₃ and Q=S₃

Direct product G=N×Q with N=C₉○He₃ and Q=S₃

		d	ρ	Label	ID
S₃×C₉○He₃		54	6	S3xC9oHe3	486,226

Semidirect products G=N:Q with N=C₉○He₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉○He₃⋊₁S₃ = C₃≀C₃.S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉○He₃	27	6+	C9oHe3:1S3	486,175
C₉○He₃⋊₂S₃ = C₃≀C₃⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out C₉○He₃	27	6+	C9oHe3:2S3	486,189
C₉○He₃⋊₃S₃ = C₉○He₃⋊₃S₃	φ: S₃/C₃ → C₂ ⊆ Out C₉○He₃	81		C9oHe3:3S3	486,245
C₉○He₃⋊₄S₃ = C₉○He₃⋊₄S₃	φ: S₃/C₃ → C₂ ⊆ Out C₉○He₃	54	6	C9oHe3:4S3	486,246

Non-split extensions G=N.Q with N=C₉○He₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉○He₃.₁S₃ = He₃.D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉○He₃	81	6+	C9oHe3.1S3	486,27
C₉○He₃.₂S₃ = He₃.₂D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉○He₃	81	6+	C9oHe3.2S3	486,29
C₉○He₃.₃S₃ = He₃.₃D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉○He₃	81	6+	C9oHe3.3S3	486,58
C₉○He₃.₄S₃ = He₃.₄D₉	φ: S₃/C₁ → S₃ ⊆ Out C₉○He₃	81	6+	C9oHe3.4S3	486,59
C₉○He₃.₅S₃ = He₃.₅D₉	φ: S₃/C₃ → C₂ ⊆ Out C₉○He₃	81	6+	C9oHe3.5S3	486,163

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