a denial of any leadership position in any sports team, club, or other student organization. (H) An action to withdraw the institution’s official recognition of such organization. (I) An action to require any student to certify that such student is not a member of a single-sex social organization or to disclose the student’s membership in a single-sex social organization. (J) An action to interject an institution’s own criteria into the membership practices of the organization in any manner that conflicts with the rights of such organization under title IX of the Education Amendments of 1972 ( 20 U.S.C. 1681 et seq. ) or this section. (2) Single-sex social organization The term single-sex social organization means— (A) a social fraternity or sorority described in section 501(c) of the Internal Revenue Code of 1986 which is exempt from taxation under section 501(a) of such Code, or an organization that has been historically single-sex, the active membership of which consists primarily of students or alumni of an institution of higher education