How many generators of the group $U(n)$ are there?
106653
How many generator has a cyclic group of order n?
57221
counting the number of elements in a conjugacy class of $S_n$
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
14139
$(12)$ and $(123\dots n)$ are generators of $S_n$
71245
$2 \times 2 $ Orthogonal Group
72853
What is the number of automorphisms (including identity) for permutation group $S_3$ on 3 letters?
121707
Generating Elements of Galois Group
15396
Enumerating all subgroups of the symmetric group
124140
Quick way to find the number of the group homomorphisms $\phi:{\bf Z}_3\to{\bf Z}_6$?
46971
Number of surjections from $\{1,...,m\}$ to $\{1,...,n\}$
41231
Subgroups of (Z,+) of order n
76504
Non-trivial cyclic group with unique generator
150204
Isomorphisms between the groups $U(10), U(5)$ and $\mathbb{Z}/4\mathbb{Z}$
12667
How many subgroups of order $n$ does $D_n$ have?
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
58397
Every cyclic group with order > 2 has at least 2 distinct generators
124224
How many groups of order $n$ with center {e} exist?