Conn. Gen. Stat. § 4-280: Attorney General's pursuit of claim through alternate remedy.

Notwithstanding the provisions of section 4-277, the Attorney General may elect to pursue the state's claim through any alternate remedy available to the state, including any administrative proceeding to determine a civil penalty. If any such alternate remedy is pursued in another proceeding, the person bringing the action shall have the same rights in such proceeding as such person would have had if the action had continued under the provisions of sections 4-277 to 4-279, inclusive. Any finding of fact or conclusion of law made in such other proceeding that has become final shall be conclusive on all parties to an action under sections 4-277 to 4-279, inclusive. A finding or conclusion is final if it has been finally determined on appeal to the appropriate court of the state, if the time for filing such an appeal with respect to the finding or conclusion has expired or if the finding or conclusion is not subject to judicial review.