Conn. Gen. Stat. § 33-229: Officers.

The officers of a cooperative shall consist of a president, vice president, secretary and treasurer, who shall be elected annually by and from the board of trustees. When a person holding any such office ceases to be a trustee he shall cease to hold such office. The offices of secretary and of treasurer may be held by the same person. The board of trustees may also elect or appoint such other officers, agents or employees as it deems necessary or advisable and shall prescribe their powers and duties. Any officer may be removed from office and his successor elected in the manner prescribed in the bylaws.