Order of cyclic subgroups in symmetric groups
21568
Maximal order of an element in a symmetric group
28576
Galois Groups are isomorphic to subgroups of symmetric groups.
143550
Order of product of two elements in an abelian group
68201
Cyclic group of order $n$
83654
Order of an element in a finite cyclic group
151193
Simple subgroup of Symmetric Group
16476
Order of the product of two commuting elements with coprime orders in a group.
82878
Order of cyclic groups and the Euler phi function
9393
Order of elements is lcm-closed in abelian groups
50762
If $S_n$ has cyclic subgroups of these orders or not?
41688
An elementary problem in Group Theory: the unique noncyclic group of order 4
5089
An element of a group has the same order as its inverse
84789
Order of products of elements in a finite Abelian group
45277
The alternating group is a normal subgroup of the symmetric group
15387
Order of $GL(n, \mathbb Z_p)$
35472
Transitive subgroup of symmetric group $S_n$ containing an $(n-1)$-cycle and a transposition
90453
How can I find cyclic subgroups of $S_3$?