Structure of a group, $G$, of order $pq$ where $p, q$ are prime.
15526
Question on groups of order $pq$
50706
$|G|=p(p+1)$ for $p$ prime, then $G$ has a normal subgroup of order $p$ or $p+1$
88440
Is G a CLT group if its order is product of distinct prime?
83654
Order of an element in a finite cyclic group
49162
Classify all groups with order $pq$, $p$ is not equal to $q$
99205
Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
123419
Abstract algebra: homomorphism and an element of a prime order
38853
Cyclic group of prime order
8742
Examples and further results about the order of the product of two elements in a group
145563
In an abelian group, the elements of finite order form a subgroup.
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
156319
Show that a group with $|G| = 33$ contains an element of order $3$
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
22248
$G$ solvable $\implies$ composition factors of $G$ are of prime order.
8841
A $p$-group of order $p^n$ has a normal subgroup of order $p^k$ for each $0\le k \le n$
56607
gcd and order of elements of group