I did start to write an answer, and in checking my answer realised that a link I’d have to link to an article:

https://en.wikipedia.org/wiki/Colleges_within_universities_i...

I was wondering if there could be colleges in Federated colleges, but that’s daft.

I think Kent was going to be called Canterbury, but there was already a Canterbury University in New Zealand.

Lancaster, Kent, and York sounds a bit Shakespearean.

Now I’m thinking is there a University of Atreides?