Phylum Chordata Bateson, 1885 - chordates Subphylum Vertebrata Cuvier, 1812 - vertebrates Superclass Homotherma Class Mammalia Linnaeus, 1758 - mammals Subclass Theria Parker & Haswell, 1897 Infraclass Eutheria Gill, 1872 Order Cetacea Brisson, 1762 - whales, dolphins, and porpoises see Infraorder Cetacea Brisson, 1762