Subgroup of order 2 of a group of order 56
15633
If G is a group of even order, prove it has an element $a \neq e$ satisfying $a^2 = e$.
143314
Sylow subgroup of $S_{p^2}$
142038
Finding the number of elements of order two in the symmetric group $S_4$
143550
Order of product of two elements in an abelian group
75670
Questions around the number of subgroups of a $p$-group
151193
Simple subgroup of Symmetric Group
46940
On Groups of Order 315 with a unique sylow 3-subgroup .
41231
Subgroups of (Z,+) of order n
72048
Finding Sylow 2-subgroups of the dihedral group $D_n$
156154
Sylow 2 subgroups of S4
42389
If $(G, \oplus)$ has order $2n$, prove that every proper subgroup of $(G, \oplus)$
129830
A group with no proper non-trivial subgroups
62277
Cayley tables for two non-isomorphic groups of order 4.
63798
How can you show there are only 2 nonabelian groups of order 8?
103002
Group equals union of two subgroups
53357
Cyclic Group Generators of Order $n$
103423
Normal subgroup where G has order prime