Give an example of a non abelian group $G$ and a subgroup $H\subset Z(G) $(proper subgroup) such that $H$ is not characteristic subgroup of $G$
Solution 1:
$$S_3 \times \Bbb Z/2 \Bbb Z \times \Bbb Z / 2 \Bbb Z$$
Give an example of a non abelian group $G$ and a subgroup $H\subset Z(G) $(proper subgroup) such that $H$ is not characteristic subgroup of $G$
Solution 1:
$$S_3 \times \Bbb Z/2 \Bbb Z \times \Bbb Z / 2 \Bbb Z$$