They play in Division 1 of the
Upper Midwest Conference of the MCLA. Just about every P5 school has a varsity or MCLA team. BYU recently beat Ga Tech for the 2021 MCLA Championship. The good thing about the MCLA is that it brings lacrosse to the big-name schools. The bad thing about the MCLA is that it brings lacrosse to the big-name schools at no cost to the athletic departments and they're more than happy to keep it that way.
BTW, schools with a varsity are forbidden to be members of the MCLA, so most of them are in the NCLL.