Extensions 1→N→G→Q→1 with N=C₁₆ and Q=S₃

Direct product G=N×Q with N=C₁₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₁₆		48	2	S3xC16	96,4

Semidirect products G=N:Q with N=C₁₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁S₃ = D₄₈	φ: S₃/C₃ → C₂ ⊆ Aut C₁₆	48	2+	C16:1S3	96,6
C₁₆⋊₂S₃ = C₄₈⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₁₆	48	2	C16:2S3	96,7
C₁₆⋊₃S₃ = D₆.C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₁₆	48	2	C16:3S3	96,5

Non-split extensions G=N.Q with N=C₁₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.S₃ = Dic₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₁₆	96	2-	C16.S3	96,8
C₁₆.₂S₃ = C₃⋊C₃₂	central extension (φ=1)	96	2	C16.2S3	96,1

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Extensions 1→N→G→Q→1 with N=C16 and Q=S3