About an order of a p-group
63499
Groups of prime squared order
143550
Order of product of two elements in an abelian group
75670
Questions around the number of subgroups of a $p$-group
4402
Group of order $pqr$, $p < q < r$ primes
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism
69820
A nontrivial p-group has nontrivial center
157806
Order of a element on a Symmetric Group
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
19668
Does every group whose order is a power of a prime p contain an element of order p?
67272
Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$
114187
In a finite cyclic group, the generator has the order of the group
79995
G is group of order pq, pq are primes
131946
Order of an Element Under a Homomorphism
122335
Abelian $p$-group with unique subgroup of index $p$
141125
Group with order $p^2$ must be abelian . How to prove that?
8742
Examples and further results about the order of the product of two elements in a group
39938
Subgroups of a cyclic group and their order.