Class Mammalia Linnaeus, 1758 - mammals
Order Cetacea Brisson, 1762 - whales, dolphins, and porpoises
see Infraorder Cetacea Brisson, 1762
Suborder Odontoceti Flower, 1867 - toothed whales
see Parvorder Odontoceti Flower, 1867
Family Delphinidae Gray, 1821 - oceanic dolphins
Genus Lissodelphis Gloger, 1841 - right whale dolphins
Lissodelphis peronii (Lacépède, 1804) - southern right whale dolphin