# Math Help - give an example of non-normal subgroup of a group

1. ## give an example of non-normal subgroup of a group

Give an example of a subgroup of a group that is not normal

2. Originally Posted by szpengchao
Give an example of a subgroup of a group that is not normal
Any subgroup of $S_5$ which is not $\{ e\}, A_5, S_5$ would not be normal. This provides a lot of examples.