At my alma mater...there are 34 Competitive Club Sports..clubs have no schollies, and the students compete on their own dime...using university supplied facilities
Sports like men' soccer, men and women's lacrosse, crew, men and women's rugby, men and women's water polo, etc. that are not represented in NCAA teams of the university.
Lacrosse, for example, plays in the Southeastern Lacrosse Conference...along with Clemson, GT, VT, S. Carolina, N. Carolina, Wake, Georgia...
Men's soccer plays in the Southeast Collegiate Soccer Alliance League (Region 2).