Group of order $105$ with a normal Sylow $3$-subgroup is cyclic
59007
Suppose $|G| = 105$. Show that it is abelian if it has a normal $3$-Sylow subgroup.
133272
Number of normal subgroups of a non abelian group of order $21$... CSIR December $2013$
99114
Subgroups of index 3 are normal
82878
Order of cyclic groups and the Euler phi function
11731
Normal subgroups of $S_4$
141890
$G$ is a Group of order $pq$, if $G$ has exactly one subgroup of order $p$ and another with order $q$, then $G$ is cyclic ($p,q$ are prime)
145112
Show that the multiplicative group $(\mathbb{Z}/p\mathbb{Z})^*$ is cyclic
14003
$(\mathbb{Z}/2^n \mathbb{Z})^*$ is not cyclic Group for $n\geq 3$
44942
A group $G$ with a subgroup $H$ of index $n$ has a normal subgroup $K\subset H$ whose index in $G$ divides $n!$
61394
The product of finitely many cyclic groups is cyclic
27215
Intersection of the $p$-sylow and $q$-sylow subgroups of group $G$
15630
Normal subgroup of prime order is characteristic
38853
Cyclic group of prime order
131204
A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$
104549
When $d \mid n$, the number of elements of order $d$ in a cyclic subgroup of order $n$ is $\phi (d)$
75590
How many normal subgroups does a non-abelian group $G$ of order $ 21$
143314
Sylow subgroup of $S_{p^2}$