prove a group of certain order is never simple
46986
No group of order 400 is simple
95378
Known bounds for the number of groups of a given order.
8746
Groups of order $pq$ without using Sylow theorems
39100
Exercise from Serre's "Trees" - prove that a given group is trivial
28676
Is a finite group uniquely determined by the orders of its elements?
79055
Orders of a symmetric group
146969
Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$
151029
The number of non normal subgroups of a group cannot be $1$?
60982
Group where every element is order 2
157841
Existence of a non-abelian group of order $p^n$.
121141
Proving Finiteness of Group from Presentation
74586
Prove that every group of order $4$ is abelian
92750
Groups where all elements are order 3
5089
An element of a group has the same order as its inverse
62635
Prove that the additive group $ℚ$ is not isomorphic with the multiplicative group $ℚ^*$.
49366
Group of order 30 can't be simple
35124
Can every non-simple group $G$ be written as a semidirect product?