Extensions 1→N→G→Q→1 with N=C₂×3_-¹⁺² and Q=S₃

Direct product G=N×Q with N=C₂×3_-¹⁺² and Q=S₃

		d	ρ	Label	ID
C₂×S₃×3_-¹⁺²		36	6	C2xS3xES-(3,1)	324,141

Semidirect products G=N:Q with N=C₂×3_-¹⁺² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊₁S₃ = C₂×C₃³⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×3_-¹⁺²	18	6+	(C2xES-(3,1)):1S3	324,77
(C₂×3_-¹⁺²)⋊₂S₃ = C₂×He₃.₃S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×3_-¹⁺²	54	6+	(C2xES-(3,1)):2S3	324,78
(C₂×3_-¹⁺²)⋊₃S₃ = C₂×C₃³.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×3_-¹⁺²	54		(C2xES-(3,1)):3S3	324,146
(C₂×3_-¹⁺²)⋊₄S₃ = C₂×He₃.₄S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×3_-¹⁺²	54	6+	(C2xES-(3,1)):4S3	324,147

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).₁S₃ = C₃³⋊Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×3_-¹⁺²	36	6-	(C2xES-(3,1)).1S3	324,22
(C₂×3_-¹⁺²).₂S₃ = He₃.₃Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×3_-¹⁺²	108	6-	(C2xES-(3,1)).2S3	324,23
(C₂×3_-¹⁺²).₃S₃ = 3_-¹⁺².Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×3_-¹⁺²	108	6-	(C2xES-(3,1)).3S3	324,25
(C₂×3_-¹⁺²).₄S₃ = C₂×3_-¹⁺².S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×3_-¹⁺²	54	6+	(C2xES-(3,1)).4S3	324,80
(C₂×3_-¹⁺²).₅S₃ = C₃³.Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×3_-¹⁺²	108		(C2xES-(3,1)).5S3	324,100
(C₂×3_-¹⁺²).₆S₃ = He₃.₄Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×3_-¹⁺²	108	6-	(C2xES-(3,1)).6S3	324,101
(C₂×3_-¹⁺²).₇S₃ = Dic₃×3_-¹⁺²	φ: trivial image	36	6	(C2xES-(3,1)).7S3	324,95

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