There are plenty of forms of dark matter. Regarding the fact it is relativistic or not (its speed, in a few word), it is labeled at hot (ultra-relativistic dark matter), cold dark matter (slowly moving dark matter) or warm dark matter (in the middle). Note that hot dark matter is hardly viable as it does not account correctly for the formation of the small-scale structures in the universe.

Here, I only talked about a form of dark matter that carries a baryon number. It could be cold or warm, for instance, in concrete models.

Does it help?