Other feature idea could include:
- search box on groups page with URL parameters
- tabs that could be assigned filters or other search criteria
- show My Groups|All Groups|Other Groups
The naming convention works to a degree. I believe the sort order is by group name not the full name so there is some flexibility.
I also use the following CSS to remove the group name and just show the full name.
.groups-table .groups-info .groups-info-name {
display: none;
}