Class Mammalia Linnaeus, 1758 - mammals Order Diprotodontia Owen, 1866 Family Macropodidae Gray, 1821 - wallabies and kangaroos Genus Setonix Lesson, 1842 - quokka Setonix brachyurus (Quoy & Gaimard, in Dumont d'Urville, 1830) - quokka