Cal. Ins. Code § 1741
If the commissioner finds, after a hearing, that there are grounds for the denial of an application for a license to act in any capacity set forth in Article 1 of this chapter or if the commissioner finds, after a hearing, that any licensee has violated the provisions of this code and that the violation would justify the suspension or revocation of any license held by the person, the commissioner may order the licensee to prove the licensee's qualifications by taking and passing the qualifying examination for any license held or applied for. The commissioner shall set the time for the taking of the examination. Failure thereof by any licensee shall result in the termination of all licenses of the licensee to which the examination is applicable. An order to take the examination may be in lieu of any other action in respect to the application or the license, or, except in the case of revocation, may be in addition to any other action.
Ca. Ins. Code § 1741