A Group of order $p^n$ is not simple
101735
A finite $p$-group cannot be simple unless it has order $p$
148904
Groups of order $p^3$
67554
In a group, the number of non-self-inverse elements is even
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
31687
Classification of groups of order 30
53357
Cyclic Group Generators of Order $n$
83710
Order of a homomorphism of groups
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
12066
Group of order pq is not simple
81892
Find four groups of order 20 not isomorphic to each other.
49366
Group of order 30 can't be simple
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism
57427
Group of order $8p$ is solvable, for any prime $p$
48393
Abelian groups of order n.
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
8746
Groups of order $pq$ without using Sylow theorems
8742
Examples and further results about the order of the product of two elements in a group