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

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

		d	ρ	Label	ID
C₃×S₃×3_-¹⁺²		54		C3xS3xES-(3,1)	486,225

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×3_-¹⁺²)⋊₁C₃ = S₃×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×3_-¹⁺²	18	6	(S3xES-(3,1)):1C3	486,117
(S₃×3_-¹⁺²)⋊₂C₃ = S₃×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×3_-¹⁺²	54	6	(S3xES-(3,1)):2C3	486,120
(S₃×3_-¹⁺²)⋊₃C₃ = S₃×C₉○He₃	φ: trivial image	54	6	(S3xES-(3,1)):3C3	486,226

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×3_-¹⁺²).C₃ = S₃×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×3_-¹⁺²	54	6	(S3xES-(3,1)).C3	486,124

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