There's been a change to the tournament format this year, with players competing in a round robin format before entering into a knock-out phase.
McIlroy has been drawn in Group 3 alongside Kevin Na, Smylie Kaufman and Thorbjorn Olesen.
McDowell has been pitted against world number two Jason Day, Paul Casey and Thailand's Thongchai Jaidee.
Shane Lowry will be going up against Zach Johnson, Martin Kaymer and Marcus Fraser.
