Phylum Chordata Bateson, 1885 - chordates Subphylum Vertebrata Cuvier, 1812 - vertebrates Class Aves Linnaeus, 1758 - birds see Subclass Aves Linnaeus, 1758 Order Psittaciformes Wagler, 1830 - parrots Family Cacatuidae Gray, 1840 Family Loriidae Family Psittacidae Illiger, 1811 - cockatoos and parrots