The Supreme Court seemed to split sharply Monday on whether a law school can deny recognition to a Christian student group that won't let gays join, a case that could determine whether nondiscrimination policies trump the rights of private organizations to determine who can — and cannot — belong.

In arguments tinged with questions of religious, racial and sexual discrimination, the court heard from the Christian Legal Society, which wants recognition from the University of California's Hastings College of the Law as an official campus organization with school financing and benefits.

Hastings, located in San Francisco, turned them down, saying no recognized campus groups may exclude people due to religious belief or sexual orientation.

The Christian group requires that voting members sign a statement of faith. The group also regards "unrepentant participation in or advocacy of a sexually immoral lifestyle" as being inconsistent with the statement of faith.