# Math Help - normal subgroups

1. ## normal subgroups

Find a group G and subgroups H;K of G such that H is a normal subgroup to K, K is a normal subgroup to G and H is not a normal
subgroup of G.
This question is driving me crazy ... any suggestions or hints.. to solve this problem..

2. Originally Posted by Dreamer78692
Find a group G and subgroups H;K of G such that H is a normal subgroup to K, K is a normal subgroup to G and H is not a normal
subgroup of G.
This question is driving me crazy ... any suggestions or hints.. to solve this problem..
Look in $S_4$.