The order of a $p$-Sylow subgroup of the group $GL_{50}(\mathbb{F}_p)$ of invertible $50×50$ matrices with entries from finite field $\mathbb{F}_p$
50157
order of a sylow p-subgroup
75127
Group $G$ of order $p^2$: $\;G\cong \mathbb Z_{p^2}$ or $G\cong \mathbb Z_p \times \mathbb Z_p$
27865
What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
64408
Subgroup of $\mathbb{Q}$ with finite index
79055
Orders of a symmetric group
144582
Index of a subgroup in $SL_2(\mathbb{Z})$
30456
The number of $2 × 2$ invertible matrices with entries from field $\mathbb{Z}_p$
62603
Characterizations of the $p$-Prüfer group
67272
Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$
152630
showing that a group of order 45 is abelian
115973
Computing the number of nonisomorphic finite abelian groups of order $n$
27215
Intersection of the $p$-sylow and $q$-sylow subgroups of group $G$
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
31687
Classification of groups of order 30
63499
Groups of prime squared order
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
46940
On Groups of Order 315 with a unique sylow 3-subgroup .