Is there some sort of classification of invertible finite groups?
63162
Is there a characterization of groups with the property $\forall N\unlhd G,\:\exists H\leq G\text{ s.t. }H\cong G/N$?
5812
Is there an isomorphism between factor groups and subgroups of symmetric groups?
21958
Splitting of conjugacy class in alternating group
150760
Are there any distinct finite simple groups with the same order?
39425
Surprising but simple group theory result on conjugacy classes
67554
In a group, the number of non-self-inverse elements is even
68955
Characterising subgroups of Prüfer $p$-groups.
76504
Non-trivial cyclic group with unique generator
31687
Classification of groups of order 30
147366
What are a few examples of noncyclic finite groups?
102912
Subgroups of finitely generated groups are not necessarily finitely generated
2254
Finite group with isomorphic normal subgroups and non-isomorphic quotients?
112165
Classification of groups of order 12
61391
Which finite groups are the group of units of some ring?
42582
Infinite group with only two conjugacy classes
121077
Product of all elements in finite group
49162
Classify all groups with order $pq$, $p$ is not equal to $q$