How non-abelian group of order pq looks like?
86025
Nonabelian semidirect products of order $pq$?
122353
Status of the classification of non-finitely generated abelian groups.
139218
Is this group solvable?
92493
If $G$ is non-abelian, then $Inn(G)$ is not a normal subgroup of the group of all bijective mappings $G \to G$
3907
Abelian quotient group
68971
Elementary approach to proving that a group of order 9 is Abelian
33300
Showing order of $Z (G) =1$ or $pq$
68201
Cyclic group of order $n$
115973
Computing the number of nonisomorphic finite abelian groups of order $n$
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
27703
an example of a non-abelian group $G$ containing a proper normal subgroup $N$ such that $G/N$ is abelian.
128692
Example of an infinite group where every element except identity has order 2
113357
Groups of order $pqr$ and their normal subgroups
134376
Let $G$ be a nonabelian group. Let $a \in G$ have order $4$ and let $b \in G$ have order $3$. Then the order of the element $ab$ in $G$
15341
Non-abelian finite group in which more than half of the elements have order $2$
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
85106
Group of order 10 has an element of order 5, without using Cauchy's or Sylow's theorems