Easy.
Once you add the group.
Goto Control Panel » Member Management via control panel.
search for the member.
Select the member.
Then select the permissions tab.
you will see Group Membership:
select or de-select the groups you want them in.
Maybe someday, somebody like Gizmo.
Will post in the faq page what a group is and how to utilize them.
It seems to be the hardest thing to understand, the architecture of groups to permissions.