Assign page to a group from New > Page

I thought this plugin allowed me to create a page, and select which group has access to that page. I can see that shortcodes might do that, but I want to be able to select a group or groups when creating a page.

I can see Access restrictions, but Groups does not show up, and when I choose group-read-posts then multiple groups show up in one selection. I am confused. Perhaps this plugin doesn’t allow restricted pages and posts by Group.

Or did I miss something?

http://wordpress.org/plugins/groups/