Why is the number of conjugacy classes modulo 16 equal to the order for a finite group of odd order?
39425
Surprising but simple group theory result on conjugacy classes
41695
Conjugate class in the dihedral group
8742
Examples and further results about the order of the product of two elements in a group
94326
a square in a finite field of odd order
55719
Order of general- and special linear groups over finite fields.
41731
Question about the order of the product of two elements in an abelian group
15387
Order of $GL(n, \mathbb Z_p)$
115973
Computing the number of nonisomorphic finite abelian groups of order $n$
122125
Order of group element divides order of finite group
28676
Is a finite group uniquely determined by the orders of its elements?
114187
In a finite cyclic group, the generator has the order of the group
110018
Conjugacy classes in $A_n$.
104112
Number of finite simple groups of given order is at most $2$ - is a classification-free proof possible?
87756
Order of a particular given permutation = LCM(order of all disjoint cycles) ?
1576
Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.
142038
Finding the number of elements of order two in the symmetric group $S_4$
157806
Order of a element on a Symmetric Group