  Bredon cohomology is a cohomology theory that applies to topological spaces
equipped with the group actions. For any group G, given a real linear
representation V , the configuration space of V has a natural diagonal
G-action. In the paper we study this group action on the configuration space
and give a decomposition of the homology Bredon coefficient system of the
configuration space and apply this to compute rational Bredon cohomology of the
configuration space for small nonabelian group G.
