This is Baylor
Baylor has won seven team national championships, all in the Big 12 era. Aside from the seven national titles, Baylor has won 41 NCAA individual championships. Appropriately branded "Quartermile U", Baylor has won 20 national titles in the 4x400 meter relay. A complete list of Baylor's national championships are listed here.
In addition to the seven team national titles, Baylor has amassed 100 conference titles, including 71 Big 12 Conference titles (43 regular season and 28 tournament).
Baylor's 100 all-time conference titles have come in 16 different sports - men's tennis (21), women's tennis (19), women's basketball (15), baseball (8), football (8), men's basketball (5), women's cross country (4), men's golf (3), men's outdoor track (3), equestrian (3), soccer (3), men's cross country (2), men's indoor track (2), softball (1), women's golf (1), and women's indoor track (1).
The 71 Big 12 Conference titles is 42 more than the 29 titles Baylor earned in 81 years of Southwest Conference membership. Over the last 10 academic years (2008-09 through March 5, 2018), Baylor has won a combined 42 Big 12 regular-season and tournament championships in nine different sports.
A complete list of conference championships can be found here.