Conn. Gen. Stat. § 52-65

Service of an information in the nature of quo warranto brought against a nonresident usurping any office in a corporation organized under the laws of this state may be made upon the nonresident by leaving a copy (1) with the secretary of the corporation if the secretary resides in this state, or (2) if the secretary does not reside in this state, with a resident treasurer or assistant treasurer of the corporation. If no such officer resides in this state, service may be made upon the Attorney General of this state. Any service pursuant to this section shall constitute service upon the nonresident defendant and shall be sufficient notice to the defendant to enable the relator to bring the action to trial.