What is an example of a subgroup $H\le S_3$ that is not normal?
57883
Example of a Subgroup That Is Not Normal
117414
How would I prove what elements $S_3$ contains, and what its subgroups are?
151047
a non trivial example: $G/H$ is isomorphic to $G$
87454
Counterexample for the normalizer being a normal subgroup
112263
an example for $\pi$-quasinormal subgroup but is not normal
106779
How to show if $H,K$ are normal subgroups in a group $G$ then $[H,K] \leq H \cap K$
102912
Subgroups of finitely generated groups are not necessarily finitely generated
89805
2-dimensional Lie subgroups of $SO(3)$
50762
If $S_n$ has cyclic subgroups of these orders or not?
125498
Check whether subgroup is normal in $ S_4$
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
128834
Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
142413
Normal Subgroups of $SU(n)$
71262
Subgroups of order $9$ isomorphic to $C_3 \times C_3$ in $S_6$
97928
Normal subgroup of a normal subgroup
28181
Sylow subgroups of $S_3$ and $S_4$