How many subgroups of order 8 of an abelian group of order 72?
141458
How many subgroups or order 8 an abelian Group of order 72 can have
112165
Classification of groups of order 12
84789
Order of products of elements in a finite Abelian group
3317
Subgroup generated by $2$ and $7$ in $(\mathbb Z,+)$
157853
$Q_8$ is isomorphic to a subgroup of $S_8$, but not isomorphic to a subgroup of $S_n$ for $n\leq 7$.
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 $a = b^7$
104112
Number of finite simple groups of given order is at most $2$ - is a classification-free proof possible?
60858
An abelian group of order 6 has an element of order 6.
88262
How to enumerate subgroups of each order of $S_4$ by hand
12667
How many subgroups of order $n$ does $D_n$ have?
122353
Status of the classification of non-finitely generated abelian groups.
48393
Abelian groups of order n.
151025
If G is a group of order n=35, then it is cyclic
33152
Classifying groups of order 18
39938
Subgroups of a cyclic group and their order.
148904
Groups of order $p^3$
108250
A group of order $595$ has a normal Sylow 17-subgroup.