Chordata Bateson, 1885 - chordates Vertebrata Cuvier, 1812 - vertebrates 1 Pisces 2 Amphibia Linnaeus, 1758 - amphibians see Class Amphibia Gray, 1825 3 Reptilia Linnaeus, 1758 - reptiles 4 Aves Linnaeus, 1758 - birds see Subclass Aves Linnaeus, 1758 5 Mammalia Linnaeus, 1758 - mammals