Hall not implies WNSCDIN

Statement
There exists a finite group $$G$$ and a Hall subgroup $$H$$ of $$G$$ such that $$H$$ is not a WNSCDIN-subgroup of $$G$$. In other words, there exist subsets $$A,B$$ of $$H$$ such that $$A$$ and $$B$$ are conjugate in $$G$$ but not in $$N_G(H)$$.

Related facts

 * Sylow implies WNSCDIN: This is a combination of the facts Sylow implies pronormal and pronormal implies WNSCDIN.
 * Hall not implies procharacteristic
 * Hall not implies pronormal

Proof
(The same general example used to show that Hall subgroups need not be pronormal works here).