Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct. see Subphylum Vertebrata Cuvier, 1812
       Vertebrata (Lamarck, 1801) - vertebrates see Subphylum Vertebrata Cuvier, 1812
         Myopterygii - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Chondrichthiomorphi
               Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
                 Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes
                   Infraclass Euselachii Hay, 1902 - sharks and rays, and related fossils
                     Division Neoselachii Compagno, 1977
                       Subdivision Selachii - sharks
                         Superorder Galeomorphi (Compagno, 1973)
                           1 ?Family †Palaeospinacidae Regan, 1906
                           2 Order Heterodontiformes Compagno, 1973 [monotypic] - bullhead sharks
                           3.1 Order Orectolobiformes Compagno, 1973 - carpet sharks
                           3.2.1 Order Lamniformes Berg, 1958 - mackerel sharks
                           3.2.2 Order Carcharhiniformes Compagno, 1973 - ground sharks