Conn. Gen. Stat. § 29-8
In case of riot or civil commotion in any part of the state, the Division of State Police within the Department of Emergency Services and Public Protection, on order of the Governor, shall use its best efforts to suppress the same. In the event of such participation by the Division of State Police in the suppression of any riot or similar disorder, the same immunities and privileges as apply to the organized militia shall apply to the members of said division, provided, after the crowd management policy has been adopted as a regulation under section 5 of this act, any such member is in substantial compliance with such policy.
Conn. Gen. Stat. § 29-8
(1949 Rev., S. 3651; 1971, P.A. 871, S. 108; P.A. 77-614, S. 486, 587, 610; P.A. 78-303, S. 85, 136; P.A. 11-51, S. 134.)
See Sec. 27-60 re limited liability and immunity from arrest of militia.