Conn. Gen. Stat. § 29-156b

The licensee of a private detective agency shall issue to each of the agency's private investigators an identification card, of such size, color and design as the commissioner may prescribe, which card shall contain the name and photograph of the private investigator, the name and business address of the licensee, the license number and expiration date, and the certification that the named private investigator is employed as a private investigator of the licensee. Such card shall be carried by the private investigator at all times when engaged in the activities of the licensee. No person shall hold, possess or show an identification card not authorized and issued to such person by a licensed employer, or possess such card after termination of such person's employment with the issuing licensee.