Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=S₃

Direct product G=N×Q with N=Q₁₆ and Q=S₃

		d	ρ	Label	ID
S₃×Q₁₆		48	4-	S3xQ16	96,124

Semidirect products G=N:Q with N=Q₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁S₃ = C₈.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out Q₁₆	48	4+	Q16:1S3	96,35
Q₁₆⋊₂S₃ = Q₁₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out Q₁₆	48	4	Q16:2S3	96,125
Q₁₆⋊₃S₃ = D₂₄⋊C₂	φ: trivial image	48	4+	Q16:3S3	96,126

Non-split extensions G=N.Q with N=Q₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.S₃ = C₃⋊Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out Q₁₆	96	4-	Q16.S3	96,36

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Extensions 1→N→G→Q→1 with N=Q16 and Q=S3