The Sylow p-subgroups of the symmetric group of degree p2 are the wreath product of two cyclic groups of order p. For instance, when , a Sylow 3-subgroup of Sym(9) is generated by and the elements , and every element of the Sylow 3-subgroup has the form for .
The Sylow p-subgroups of the symmetric group of degree p2 are the wreath product of two cyclic groups of order p For instance, when , a Sylow 3-subgroup of Sym(9) is generated by and the elements  and every element of the Sylow 3-subgroup has the form for 