# Abelian not normal

1. Nov 29, 2011

### Bachelier

--------------------------------------------------------------------------------

Can someone provide us with a counter example to an abelian (sub)group that is not normal.

I'm thinking something in the center of a group.

2. Nov 30, 2011

### micromass

Can you find a subgroup in $D_6$?? (the dihedral group of order 6, aka the symmetry group of a triangle). Can you find a subgroup that is not normal?? Is this subgroup abelian?