finite index of a group of rational number
64408
Subgroup of $\mathbb{Q}$ with finite index
7108
Normal subgroup of prime index
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
15526
Question on groups of order $pq$
48393
Abelian groups of order n.
19352
Normal subgroup of index m contains every element of order n where m and n are relatively prime
8746
Groups of order $pq$ without using Sylow theorems
53409
Show group of order $4n + 2$ has a subgroup of index 2.
83654
Order of an element in a finite cyclic group
83710
Order of a homomorphism of groups
87534
Finitely generated group which is not finitely presented
122335
Abelian $p$-group with unique subgroup of index $p$
44942
A group $G$ with a subgroup $H$ of index $n$ has a normal subgroup $K\subset H$ whose index in $G$ divides $n!$
68551
character degrees of finite simple groups: an elementary question
79055
Orders of a symmetric group
46121
Does the intersection of two finite index subgroups have finite index?
110708
On proving that a finitely generated group has a finite number of subgroups with index $n$.