If $p,q$ are primes, then there are only two groups of size $pq$ up to an isomorphism?
49162
Classify all groups with order $pq$, $p$ is not equal to $q$
51697
Additive group contains exactly three elements of the set $\{p,p+q,pq,p^q,q^p\}$
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
115726
For $p,q$ prime and $p \neq q$ show that $C_p \times C_q \cong C_{pq}$
91287
Is $G/pG$ is a $p$-group?
39469
If $P \leq G$, $Q\leq G$, are $P\cap Q$ and $P\cup Q$ subgroups of $G$?
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
113357
Groups of order $pqr$ and their normal subgroups
78342
When is $\phi(n)$ a prime number?
142938
Sylow 2-subgroups of the group $\mathrm{PSL}(2,q)$
152481
If order of group is $p^2$, where $p$ is prime, how can you deduce $G$ is isomorphic to $C_{p^2}$ or $C_p \times C_p$?
97021
Do there exist two primes $p<q$ such that $p^n-1\mid q^n-1$ for infinitely many $n$?
140412
If $p$ and $q$ are distinct primes such that $p|c$ and $q|c$, prove that $pq|c$
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
91935
If $x \equiv a \pmod {p_1}$ and $x\equiv a \pmod{p_2}$, then is it true that $x\equiv a \pmod{p_1p_2} ?$
4402
Group of order $pqr$, $p < q < r$ primes