(coexisting on another dimensional plane)
This page contains information regarding Star Trek: Discovery, and thus may contain spoilers.
In 2256, the vessel was under the command of Captain Michael Burnham. While in command, Burnham was ordered to hunt down Gabriel Lorca, who was attempting a coup against the emperor. Her shuttlecraft was destroyed during this operation and she was presumed dead. Captain Danby Connor then assumed command in her absence.
In 2257, the Burnham of the prime universe posed as her counterpart, telling others in the Terran Empire that she had faked her death in order to hunt down Lorca. With her Gabriel Lorca posing as the Imperial Starfleet Lorca, she returned to the Shenzhou and retook command from Captain Connor as part of a ruse to obtain intelligence that could help return the crew of the USS Discovery to return to their own reality. She subsequently killed Connor in self-defense after he attempted to kill her. (DIS: "Despite Yourself")
The ISS Shenzhou was almost identical in configuration to the USS Shenzhou of the prime universe, bearing the same registry (NCC-1227) and class. However, the ISS Shenzhou had several details that its counterpart lacked, such as the dagger emblem of the Empire painted on the doors, armed guards, and agony booths to keep the crew in line. The lateral vector transporters were also updated with newer models.