1, None, NCAA Division I FBS independent schools map. with Wichita State as a non- football member; 12 football. American college football teams play most of their games against schools in their own conferences. The best-known Division I FBS college football conferences. NCAA College Football Classifications - FBS, FCS, Div IA, Div IAA - Do you still find and FCS (Football Championship Subdivision) versus the old division the different ranks and. oh, hell, here's the official explanation. Football Bowl Series (Formerly Division I-A), teams, conferences and logos. Schools that have football are classified as Football Bowl Subdivision (formerly Division I-A) or NCAA Football Championship Subdivision (formerly Division. NCAA Division I - Football Bowl Subdivision A. American Athletic Conference i) East Division Central Florida Cincinnati Connecticut East Carolina South Florida.