Support for multiple "groups"?

I may be overlooking something – but is there any support to have multiple "groups"? The tools we run support two companies, parent and subsidiary. We currently use the name of the parent company as the group within HipChat, but it would be nice if we were able organize based on actual company (and/or department, I suppose).

No real functional problem here... just cosmetic when viewing pages that list a user's Job Title and (what appears to be) Group Name.