Fugitive Unit or Fugitives Unit?

Many police forces carry out the function of locating Fugitives. Should such a function be referred to as a Fugitive Unit or Fugitives Unit?

In my opinion it should be 'Fugitives' Unit': it is the unit charged with locating fugitives. 'Fugitive Unit' sounds like it is the unit itself which is the fugitive.

However, I am aware that government departments do not always pay the greatest attention to the niceties of usage.

DFG

Surely "Fugitives' Unit" would belong to fugitives rather that be a unit for fugitives? I vote for "Fugitives Unit". The next person will probably say it should be "Fugitive(s) Unit" so that a single fugitive may be captured as well as groups of fugitives. (^_^)

Yes, sorry: the aberrant apostrophe crept in there by accident!

DFG