If $G$ is a group of order $4n+2$, then $G$ contains a subgroup of order $2n+1$
25404
Let $G$ be a group of order $2m$ where $m$ is odd. Prove that $G$ contains a normal subgroup of order $m$
15526
Question on groups of order $pq$
152820
Every element of a group has order $2$. Why, intuitively, is it abelian?
89508
Existence of normal subgroups for a group of order $36$
44152
If $G$ has only one subgroup of order $n$, then that Subgroup is Normal
92064
A closed subset of an algebraic group which contains $e$ and is closed under taking products is a subgroup of $G$
103002
Group equals union of two subgroups
79995
G is group of order pq, pq are primes
113936
Showing that a finite abelian group has a subgroup of order m for each divisor m of n
41688
An elementary problem in Group Theory: the unique noncyclic group of order 4
50762
If $S_n$ has cyclic subgroups of these orders or not?
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
99999
A question on identifying normal subgroups of $S_4$
142739
Nonempty subset H of group G is subgroup iff $ab^{-1} \in H $ for any $a,b \in H$
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
23885
Structure of a group, $G$, of order $pq$ where $p, q$ are prime.
127996
$M_1$ and $M_2$ are subgroups and $M_1/N=M_2/N$. Is $M_1\cong M_2$?