Extensions 1→N→G→Q→1 with N=Q₃₂ and Q=S₃

Direct product G=N×Q with N=Q₃₂ and Q=S₃

		d	ρ	Label	ID
S₃×Q₃₂		96	4-	S3xQ32	192,476

Semidirect products G=N:Q with N=Q₃₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂⋊₁S₃ = C₃⋊SD₆₄	φ: S₃/C₃ → C₂ ⊆ Out Q₃₂	96	4+	Q32:1S3	192,80
Q₃₂⋊₂S₃ = Q₃₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out Q₃₂	96	4	Q32:2S3	192,477
Q₃₂⋊₃S₃ = D₄₈⋊₅C₂	φ: trivial image	96	4+	Q32:3S3	192,478

Non-split extensions G=N.Q with N=Q₃₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₃₂.S₃ = C₃⋊Q₆₄	φ: S₃/C₃ → C₂ ⊆ Out Q₃₂	192	4-	Q32.S3	192,81

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Extensions 1→N→G→Q→1 with N=Q32 and Q=S3