Programs don't rely on group as far as I know: they rely on the portfolio setting, so all you need to do is make sure your program is in that portfolio. After this, my troubleshooting steps are usually to clear cache and cookies, try a different browser, and try logging in as a different user or asking a different user to try what I'm trying.
(This assumes you are a system admin of course. If you were a regular user, I would also question if the program had been adequately shared)