Need: tiki_p_admin_groups
Group permissions can be managed on a group by group basis, there's a key icon at the bottom of the group edit page which takes you to
tiki-objectpermissions.php?group=Editors&objectType=group&objectId=Editors&objectName=Editors&permType=group
And there you can set which groups can managed/list/join/leave etc for the group.
But can be quite confusing, assigning group permissions on a group to other groups... good luck! 😁