Superphylum Deuterostomia Grobben, 1908 - deuterostomes
see Infrakingdom Deuterostomia Grobben, 1908
Phylum Chordata Bateson, 1885 - chordates
Subphylum Craniata auct.
Vertebrata Lamarck, 1801 - vertebrates
see Infraphylum Vertebrata Lamarck, 1801
Myopterygii Janvier, 1978 - myopterygians
Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
Grade Chondrichthiomorphi
see Grade Chondrichthyomorphi
Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes
see Infraclass Elasmobranchii Bonaparte, 1838
Infraclass Euselachii Hay, 1902 - sharks and rays, and related fossils
see Subclass Euselachii Hay, 1902
Division Neoselachii Compagno, 1977
see Infraclass Elasmobranchii Bonaparte, 1838
Subdivision Batoidea - rays
Order Myliobatiformes Compagno, 1973 - stingrays
Suborder Platyrhinoidei [monotypic]
see Order Torpediniformes de Buen, 1926
Family Platyrhinidae Jordan, 1923 - thornbacks
1 Genus †Tethybatis de Carvalho, 2004
2 Genus Platyrhina Müller & Henle, 1838
3 Genus Platyrhinoidis Garman, 1881 [monotypic]