How are civicrm_group and civicrm_uf_group related?
The short answer is that civicrm_group has nothing to do with civicrm_uf_group.  The former is actual groups, while the latter is profiles (groups of user-frontend fields).

If you have no profile with that ID, that would explain why you don't have access. The question really comes down to why you'd have a link there.