Showing that 2-Sylow subgroups intersect trivially
88726
Problem about solvable groups
74218
Show that $S_n$ has no subgroup of index $t$ for $2 < t < n$
72150
Union of the conjugates of a proper subgroup
70373
Intersection of normal subgroups proof
156154
Sylow 2 subgroups of S4
49666
Generalization of index 2 subgroups are normal
28210
A finite group with exactly $2$ conjugacy classes isomorphic to $\mathbb{Z}_2$
47731
Intersection of all $p$-Sylow subgroups is normal
58033
$G\times H\cong G$ with $H$ non-trivial
62017
Distinct Sylow P subgroups
42096
Direct product of Sylow subgroups
11731
Normal subgroups of $S_4$
87766
Using Cayley's Theorem to find an isomorphic subgroup.
101064
Showing the triviality of homomorphisms
146760
Prove that H is a subgroup of G
12912
Finite groups with exactly one maximal subgroup
8066
Sort-of-simple non-Hopfian groups