[Phylum] Chordata Bateson, 1885 - chordates
   Subphylum Craniata auct.
     Infraphylum Vertebrata Lamarck, 1801 - vertebrates
       Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
         Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
           Subclass Euselachii Hay, 1902 - sharks, rays, and related fossils
             Infraclass Elasmobranchii Bonaparte, 1838
               Superorder Galeomorphi Compagno, 1973
                 Order Orectolobiformes Compagno, 1973 - carpet sharks
                   1 †Palaeocarcharidae Applegate, 2001, nom. ined., incertae sedis
                   2 Family †Phorcynidae Herman & van Waes, 2014, incertae sedis
                   3 Suborder Parascyllioidei [monotypic]
                   4 Suborder Orectoloboidei Applegate, 1974