Example of group of order $p^3$
108309
An example of a non-abelian group of order $p^3$
79055
Orders of a symmetric group
23885
Structure of a group, $G$, of order $pq$ where $p, q$ are prime.
41231
Subgroups of (Z,+) of order n
99205
Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
21673
If $|G| = p^n$ then $G$ has a subgroup of order $p^m$ for all $0\le m <n.$
7973
Groups of order $pq$ have a proper normal subgroup
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
103423
Normal subgroup where G has order prime
118022
Show that a group of order $180$ is not simple.
19668
Does every group whose order is a power of a prime p contain an element of order p?
126893
A group of order 2p (p prime) and other conditions - prove abelian.
95378
Known bounds for the number of groups of a given order.
122959
How is number of conjugacy class related to the order of a group?
49162
Classify all groups with order $pq$, $p$ is not equal to $q$
85106
Group of order 10 has an element of order 5, without using Cauchy's or Sylow's theorems
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism