Extensions 1→N→G→Q→1 with N=3_-¹⁺².S₃ and Q=C₃

Direct product G=N×Q with N=3_-¹⁺².S₃ and Q=C₃

		d	ρ	Label	ID
C₃×3_-¹⁺².S₃		54	6	C3xES-(3,1).S3	486,174

Semidirect products G=N:Q with N=3_-¹⁺².S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².S₃⋊₁C₃ = C₉⋊C₉.S₃	φ: C₃/C₁ → C₃ ⊆ Out 3_-¹⁺².S₃	27	18+	ES-(3,1).S3:1C3	486,39
3_-¹⁺².S₃⋊₂C₃ = C₃.He₃⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out 3_-¹⁺².S₃	27	18+	ES-(3,1).S3:2C3	486,179

Non-split extensions G=N.Q with N=3_-¹⁺².S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².S₃.₁C₃ = C₉².S₃	φ: C₃/C₁ → C₃ ⊆ Out 3_-¹⁺².S₃	27	6+	ES-(3,1).S3.1C3	486,38
3_-¹⁺².S₃.₂C₃ = C₉⋊C₉.₃S₃	φ: C₃/C₁ → C₃ ⊆ Out 3_-¹⁺².S₃	27	18+	ES-(3,1).S3.2C3	486,40

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Extensions 1→N→G→Q→1 with N=3- 1+2.S3 and Q=C3