MVC § 375

Officers and enlisted persons of the active militia not in the service of the United States shall be subject to and governed by this code while outside this state under the order or authorization of the Governor under Section 142 in like manner and to the same extent as when on duty within this state under orders of the Governor. Military courts may be convened and held outside the state with the same jurisdiction and power of punishment as if held within the state. Offenses and delinquencies committed outside the state may be tried and punished either within or without the state after the termination of the duty.