Conn. Gen. Stat. § 27-155: Kinds of courts-martial.

(a) In the state military forces not in federal service, there shall be general, special and summary courts-martial constituted like similar courts of the armed forces of the United States. They shall have the jurisdiction and powers, except as to punishments, and shall follow the forms and procedures provided for those courts.

(b) There shall be three kinds of courts-martial: (1) General courts-martial, consisting of (A) a military judge and not less than five members; or (B) only a military judge, if, before the court is assembled, the accused, knowing the identity of the military judge and after consultation with defense counsel, requests in writing a court composed only of a military judge and the military judge approves; (2) special courts-martial, consisting of (A) not less than three members; or (B) a military judge and not less than three members; or (C) only a military judge, if, before the court is assembled, the accused, knowing the identity of the military judge and after consultation with defense counsel, requests in writing a court composed only of a military judge and the military judge approves; and (3) summary courts-martial, consisting of one commissioned officer.