  The deficiency of a group is the maximum over all presentations for that
group of the number of generators minus the number of relators. Every finite
group has non-positive deficiency. We show that every non-positive integer is
the deficiency of a finite group -- in fact, of a finite $p$-group for every
prime $p$. This completes Kotschick's classification of the integers which are
deficiencies of fundamental groups of compact Kaehler manifolds.
