Abelian group of order $p^m$ having only one subgroup of order $p^{m-1}$
122335
Abelian $p$-group with unique subgroup of index $p$
12912
Finite groups with exactly one maximal subgroup
108309
An example of a non-abelian group of order $p^3$
79995
G is group of order pq, pq are primes
64518
Prove $S_4$ has only 1 subgroup of order 12
142894
Showing that a group of order $pq$ is cyclic if it has normal subgroups of order $p$ and $q$
126893
A group of order 2p (p prime) and other conditions - prove abelian.
60858
An abelian group of order 6 has an element of order 6.
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
23885
Structure of a group, $G$, of order $pq$ where $p, q$ are prime.
37913
Prove that $ AB$ is a subgroup of order $mn$ if $m$ and $n$ are relatively prime.
96878
A finite group with the property that all of its proper subgroups are abelian
6030
Group of order 15 is abelian
84789
Order of products of elements in a finite Abelian group
3213
There exists only two groups of order $p^2$ up to isomorphism.
113357
Groups of order $pqr$ and their normal subgroups
43580
Let $p$ be a prime number and $G$ a non abelian group or order $p^3$. Prove that $Z(G) = [G,G]$.