I read your question abit differently than Brian, so if I missed the point the fault is mine.
You can go into the Section Expert and click on your Group Header. As you look at the options on the right side you will see two(2) choices Print New Page After and other Print New Page Before. I would try the Print New Page Before. That will start a new a new page before the next Group Header is printed. You try working with the option of Print New Page After in the Group Footer section. They should do the same thing.
Depending on your needs, one of these anwers should solve your problems.
Regards,
John W.