Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Infraphylum Vertebrata Lamarck, 1801 - vertebrates
         Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
           Eugnathostomata
             Grade Chondrichthyomorphi [monotypic]
               Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
                 Subclass Euselachii Hay, 1902 - sharks, rays, and related fossils
                   Infraclass Elasmobranchii Bonaparte, 1838
                     Division Selachii - sharks
                       Superorder Galeomorphi Compagno, 1973
                         Order Orectolobiformes Compagno, 1973 - carpet sharks
                           Suborder Orectoloboidei Applegate, 1974
                             1 Superfamily Orectoloboidea Gill, 1896
                             2 Superfamily Hemiscyllioidea Gill, 1862