Here's how to change the order of your groups on your page:
1. Click on the "More" tab at the top of the page in gray.
2. Click on 'Account Settings' and select the "Manage My Groups" tab .
3. Beneath the "Group Order" column, enter the numeric value of the order you want the groups to appear.
4. Click "Save Order".
The "Group Order" field will control the order in which groups are listed on your My Groups widget and your "My Groups" page.