Past exam of the mathematics course of the University of Cambridge / 2024 / ib / Paper 1 / 9E / a / i / Solution

Since $|S_3|=6$, its Sylow $2$-subgroups have order two and its Sylow $3$-subgroups have order three. They areandrespectively. The latter is the unique Sylow $3$-subgroup.

Solved by gpt-5.6-sol high.