I was luky several times to get the broken part out of the cylinder whit a small dentist tooth pick, or something like that .
Other whise buy a new cylinder and you see on to the side a plate whit lock spring/plate .
drill a small hole into the housing on the place where the lock is , and push the inside lock and the cylinder came ou.
there is alo a small locking pin that must push in whit a small pin
This is how I did once.
good luck
Simon