1) Click on the group you want to edit either from the left-hand menu, or from under the All Groups tab.
2) Click "Members"
3) You can either scroll down or type in the person's name in the "Search People" field.
4) Click the Role dropdown next to the person's name, and select between Group Admin, Group Moderator, or Member
5) A green pop will appear at the bottom of the page confirming your change.