There are 2 groups of order 6 (up to isomorphism)
87696
Use every non-abelian group of order 6 has a non-normal subgroup of order 2 to classify groups of order 6.
59902
Example of $2$ non-isomorphic groups that have the same quotients
33152
Classifying groups of order 18
121142
Take $G$ to be a group of order $600$. Prove that for any element a in $G$ there exist a $b$ in $G$ such that $a = b^7$
46260
Prove that a group generated by two elements of order $2$, $x$ and $y$, is isomorphic to $D_{2n}$, where $n = |xy|.$
71262
Subgroups of order $9$ isomorphic to $C_3 \times C_3$ in $S_6$
3439
Other proofs that subgroups of $A_5$ have order at most 12
83710
Order of a homomorphism of groups
30236
isomorphic groups related in direct product.
76732
Number of non-isomorphic groups of order 21
65968
Prove that any two cyclic groups of the same order are isomorphic?
53357
Cyclic Group Generators of Order $n$
88718
A group is generated by two elements of order $2$ is infinite and non-abelian
9140
Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
122959
How is number of conjugacy class related to the order of a group?
42469
Find all groups of order $6$.
156319
Show that a group with $|G| = 33$ contains an element of order $3$