Conn. Gen. Stat. § 27-260: Crimes excepted from court-martial jurisdiction.

Though not specifically mentioned in this code, all disorders and neglects to the prejudice of good order and discipline in the state military forces, of which persons subject to this code may be guilty, shall be taken cognizance of by a general, special or summary court-martial, according to the nature and degree of the offense, and shall be punished at the discretion of that court. However, cognizance may not be taken of, and jurisdiction may not be extended to, the crimes of murder, manslaughter, sexual assault, sexual assault with a firearm, robbery, arson, coercion, assault in the first or second degree or burglary, jurisdiction of which is reserved to civil courts.