As Fee says, 'syndicate' means a group of organisations working together. In the past, Cambridge Assessment used the name University of Cambridge Local Examinations Syndicate because it was an affiliation of several different exam boards. The name isn't used much nowadays. By the way, I work for Cambridge Assessment, and I hope you enjoyed your time in Cambridge.

A syndicate is a group made up of multiple groups or individuals who have a common purpose. For example, a group of banks can form a syndicate.