Antinormal subgroups of symmetric groups
137691
What are the self-normalizing subgroups of $S_n$?
97928
Normal subgroup of a normal subgroup
78580
Is $SL_n(\mathbb{R})$ a normal subgroup in $GL_n(\mathbb{R})$?
49666
Generalization of index 2 subgroups are normal
113925
Normal Subgroup Counterexample
156154
Sylow 2 subgroups of S4
154398
Show that H is a subgroup of G
97865
On Conjugacy Classes of Alternating Group $A_n$
44942
A group $G$ with a subgroup $H$ of index $n$ has a normal subgroup $K\subset H$ whose index in $G$ divides $n!$
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
96680
Generators of symmetric group $S_n$
57227
Maximal normal $\pi$-subgroups and torsion subgroups
11731
Normal subgroups of $S_4$
91874
Existence of finite indexed normal subgroup for a given finite indexed subgroup.
91772
Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$
111375
Normality of subgroups and Sylow groups under homomorphisms...
115182
Centre of symmetric group algebra