When looking at the list of groups (and we have many!) there is no indication which groups you belong to:
I belong in both of these groups, but I wouldn’t know it by looking at the list.
For open groups, there’s a join/leave button that implies your membership. But that doesn’t work for closed groups, which use the disabled button shown above.
There should be a general indication on the group list of which groups you belong to.
Relatedly, the list of groups on a user’s profile is no good either:
Not only does it use the username (which are cryptic in our case), but the when the list is long it’s hard to parse. It’s not even in alphabetical order!
Edit: there’s also no way to quickly see for which groups you are not just a member, but an owner.