Groups not showing from profile pages (only from dropdown)
Using Jamroom
If you want to hide your Groups form JUST the "main members" quota, in the ACP -> Profiles -> Groups -> Quota Config tab select the "main members" quota from the "Selected Quota" select form field, then UNCHECK the "Allowed on Profile" option and save.
That will disable groups in that quota - that means the "groups" menu option will not show on their profile pages.