Characterization of a group by number of elements of given order
28676
Is a finite group uniquely determined by the orders of its elements?
143550
Order of product of two elements in an abelian group
67554
In a group, the number of non-self-inverse elements is even
63162
Is there a characterization of groups with the property $\forall N\unlhd G,\:\exists H\leq G\text{ s.t. }H\cong G/N$?
60982
Group where every element is order 2
56607
gcd and order of elements of group
23885
Structure of a group, $G$, of order $pq$ where $p, q$ are prime.
92750
Groups where all elements are order 3
131516
Subgroup generated by n-th powers of elements
157806
Order of a element on a Symmetric Group
40513
A finite group which has a unique subgroup of order $d$ for each $d\mid n$.
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
140673
how to find the order of an element in a quotient group
115746
Find the order of a subgroup of $S_5$ generated by two elements
61550
Existence of elements of order $p^k$ in a finite group
79380
How to find the order of a group generated by two elements?
40852
Number of ways of distributing $n$ identical objects among $r$ groups