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.
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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.
