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
                           1 Genus †Annea Thies, 1983, incertae sedis
                           2 Genus †Dorsetoscyllium Underwood & Ward, 2004, incertae sedis
                           3 Genus †Folipistrix Kriwet, 2003, incertae sedis
                           4 Genus †Heterophorcynus Underwood & Ward, 2004, incertae sedis
                           5 Genus †Ornatoscyllium Underwood & Ward, 2004, incertae sedis
                           6 Genus †Phorcynis Thiollière, 1854, incertae sedis
                           7 Suborder Parascyllioidei [monotypic]
                           8 Suborder Orectoloboidei Applegate, 1974