Show that a group of order $2016=2^5 3^2 7$ is not simple
96764
No simple group of order 2016
41977
If $G$ is a group, show that $x^2ax=a^{-1}$ has a solution if and only if $a$ is a cube in $G$
7843
Show that order of $a^k$
134353
A group of order $108$ has a proper normal subgroup of order $\geq 6$.
148904
Groups of order $p^3$
25421
Simple or not simple Groups
58673
Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$
12066
Group of order pq is not simple
130826
Computing class group of $\mathbb Q(\sqrt{6})$
132280
Let $G$ be a group of order 35. Show that $G \cong Z_{35}$
63499
Groups of prime squared order
8742
Examples and further results about the order of the product of two elements in a group
46986
No group of order 400 is simple
15210
Group of order 6 proof
125640
Group of order $p^2$ is abelian.
157841
Existence of a non-abelian group of order $p^n$.
152630
showing that a group of order 45 is abelian