Class Mammalia Linnaeus, 1758 - mammals Subclass Theria Parker & Haswell, 1897 Order Diprotodontia Owen, 1866 Suborder Macropodiformes Ameghino, 1889 Family Macropodidae Gray, 1821 - wallabies and kangaroos Subfamily Macropodinae Gray, 1821 Genus Setonix Lesson, 1842 - quokka Setonix brachyurus (Quoy & Gaimard, in Dumont d'Urville, 1830) - quokka