Phylum Chordata Bateson, 1885 - chordates Subphylum Vertebrata Cuvier, 1812 - vertebrates Class Aves Linnaeus, 1758 - birds see Subclass Aves Linnaeus, 1758 Order Rheiformes Forbes, 1884 see Suborder Rheae Forbes, 1884 Family Rheidae Bonaparte, 1849 - rheas