Class [Mammalia] Linnaeus, 1758 - mammals Order Cetacea Brisson, 1762 - whales, dolphins, and porpoises see Infraorder Cetacea Brisson, 1762 1 Suborder Odontoceti Flower, 1867 - toothed whales see Parvorder Odontoceti Flower, 1867 2 Suborder Mysticeti Cope, 1891 - baleen whales see Parvorder Mysticeti Cope, 1891