Conn. Gen. Stat. § 9-251: Order of office on ballots.

In the preparation of ballots for use at a state election, precedence shall be given to the offices to be voted for at such election in the following descending order: Presidential electors, Governor and Lieutenant Governor, United States senator, representative in Congress, state senator, state representative, Secretary of the State, Treasurer, Comptroller, Attorney General and judge of probate. In the preparation of ballots for use at a municipal election, unless otherwise provided by law, the order of the offices shall be as prescribed by the Secretary of the State, which order, so far as practicable, shall be uniform throughout the state.