2-Sylow subgroup of symmetric group

As a Sylow subgroup
The term 2-Sylow subgroup of symmetric group refers to a group that occurs as the 2-defining ingredient::Sylow subgroup of a defining ingredient::symmetric group on finite set, i.e., a symmetric group on a set of finite size.

For every natural number $$n$$, there is a corresponding 2-Sylow subgroup of the symmetric group $$S_n$$. For an even number and the odd number bigger than it by 1, the 2-Sylow subgroups of the corresponding symmetric groups are isomorphic.