Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=S₃

Direct product G=N×Q with N=He₃⋊C₂ and Q=S₃

		d	ρ	Label	ID
S₃×He₃⋊C₂		18	6	S3xHe3:C2	324,122

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊₁S₃ = He₃⋊D₆	φ: S₃/C₁ → S₃ ⊆ Out He₃⋊C₂	9	6+	He3:C2:1S3	324,39
He₃⋊C₂⋊₂S₃ = He₃.₂D₆	φ: S₃/C₁ → S₃ ⊆ Out He₃⋊C₂	27	6+	He3:C2:2S3	324,41
He₃⋊C₂⋊₃S₃ = He₃⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out He₃⋊C₂	27		He3:C2:3S3	324,124

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.S₃ = He₃.D₆	φ: S₃/C₁ → S₃ ⊆ Out He₃⋊C₂	27	6+	He3:C2.S3	324,40
He₃⋊C₂.₂S₃ = He₃⋊₄Dic₃	φ: S₃/C₃ → C₂ ⊆ Out He₃⋊C₂	18	6	He3:C2.2S3	324,113
He₃⋊C₂.₃S₃ = He₃.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out He₃⋊C₂	27	6+	He3:C2.3S3	324,125

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Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=S3