STATE COLLEGE — Some senior university leaders at Penn State believe their fraternity system needs to be re-evaluated following a police investigation into the Facebook posting of nude photographs of women by a now-suspended fraternity, the university’s president said.

Eric Barron told faculty, staff and students in a statement sent to them on Wednesday night that some leaders believe there is a need for such a review.

He said the university is working with the national leadership of Kappa Delta Rho, which this week suspended its Penn State chapter for a year, to see if it “will have a presence” on campus and what conditions might be required.

“It also brings us to a point where we must ask if a re-evaluation of the fraternity system is required,” Barron wrote. “Some members of the university senior leadership believe it is, and we are considering our options.”

Police in State College, home to Penn State’s main campus, are investigating allegations the fraternity operated a private Facebook page on which members shared frat house pictures of nude and semi-nude women, some of whom appeared to be asleep or passed out. According to a warrant, the invitation-only page had 144 active members, including students and alumni.

Police said some of the photos showed women in “sexual or embarrassing positions” and some of the women appeared to be aware their pictures were being taken while others did not.