Wreath product of Z5 and Z5

Definition
This group is defined in the following equivalent ways:


 * 1) It is defining ingredient::wreath product of defining ingredient::cyclic group:Z5 and defining ingredient::cyclic group:Z5. It is defined as the defining ingredient::wreath product of groups of order p for the prime number $$p = 5$$.
 * 2) It is the $$5$$-Sylow subgroup of the symmetric group of degree $$25$$.