Class Mammalia Linnaeus, 1758 - mammals Subclass Theria Parker & Haswell, 1897 Infraclass Metatheria Huxley, 1880 Order Diprotodontia Owen, 1866 Suborder Phalangeriformes Szalay, 1982 1 Family Burramyidae Broom, 1898 - pygmy possums 2 Family Phalangeridae Thomas, 1888 - possums and cuscuses