This can be resolved by utilizing the company pyramid section of Event Admin.
- Navigate to Communites > Special Events > Friends Asking Friends > Kintera Thon
- Hover over your event and click Event Admin
- Click Manage Company Pyramid
- Click the drop down next to Independent Teams
- Select the team you wish to move to the group
- Click Edit in the Team Selection column and Click Move To
- Select the Group you wish to move the team to