I'll assume S4 as the symmetric group of degree 4.

The possible order of a 3-Sylow subgroup of should be 3, i.e., and for .

The order 3 subgroups of are simply the cyclic groups of order 3.

<(1 2 3)>, <(1 3 4)>, <(2 3 4)>, and <(1 2 4)>.

The number of 3-Sylow subgroups of is 4, which agrees to the third Sylow theorem, i.e., and .