"over" doesn't go with "game in hand" but with "their rivals"
(with a game in hand) (over their rivals) = they have played fewer matches than their rivals
Game in hand is a sports term. Click on link.
They are currently fourth in Group D of the 2012 European Championships qualifying campaign, five points behind leaders France and a point behind Belarus and Albania but with a game in hand over their rivals.
Why not one point?
What does in hand over mean?