Groups with order $p^nq$ with $p$ and $q$ primes.
95534
If $|G|=p^nq$, then $G$ contains a unique normal subgroup of index $q$
108309
An example of a non-abelian group of order $p^3$
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
103423
Normal subgroup where G has order prime
131204
A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
123796
Order of automorphism group of a $p$-group is divisible by $p$.
148904
Groups of order $p^3$
20881
Prove that if $p$ and $q$ are distinct primes such that $pq\mid n^2$ then $pq\mid n$.
51196
A group of order $p^2q^2$ is never simple
55719
Order of general- and special linear groups over finite fields.
122970
A question on $p$-groups, and order of its commutator subgroup.
47239
For $p,q$ primes such that $q|p-1$, show there is only one non-abelian group of order $pq$, up to isomorphism
8841
A $p$-group of order $p^n$ has a normal subgroup of order $p^k$ for each $0\le k \le n$
8742
Examples and further results about the order of the product of two elements in a group
90591
On the group of all complex roots of unity whose orders are powers of $p$, prime number
61550
Existence of elements of order $p^k$ in a finite group