The Grand Chapter has the power to alter or amend the Fraternity's Constitution, Statutes and Executive Committee Regulations, and to enact, subject to the Governing Laws, any legislation to promote the general welfare of the organization. It may grant or revoke charters to active and alumni chapters or associations and suspend or otherwise discipline any chapter, officer or member. If necessary, the Grand Chapter may act on matters by mail vote. The Grand Chapter has the power to adopt its own organization, officers and rules of government and procedure; to create and disburse funds; and to appoint and regulate organizations, boards, commissions and officers to provide financial regulations. It can review, approve or amend the operations and activities of the Fraternity, subject to the provisions of the Constitution, Statutes and Ritual.
Voting delegates elect the following members of the Executive Committee (EC): the Grand Consul; Grand Pro Consul; Grand Quaestor; Grand Tribune; Grand Historian; alumnus member-at-large; and Grand Trustee and Grand Praetor representatives. They also select members of the board of Grand Trustees and all Grand Praetors. All are elected to two-year terms, except members of the 18-man board of Grand Trustees, who hold office for four years. Nine members of that board are elected at each Grand Chapter. Undergraduate delegates also elect two of their peers to sit on the EC for one year.