Phylum Chordata Bateson, 1885 - chordates
   Subphylum Vertebrata Cuvier, 1812 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
     Pisces
       Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
         Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes see Infraclass Elasmobranchii Bonaparte, 1838
           Order Carcharhiniformes Compagno, 1973 - ground sharks
           Order †Cladodontiformes see Order Ctenacanthiformes Glikman, 1964
           Order †Cladoselachiformes
           Order †Ctenacanthiformes Glikman, 1964
           Order Heterodontiformes Compagno, 1973 - bullhead sharks
           Order Hexanchiformes Compagno, 1973 - six-gill sharks
           Order †Hybodontiformes Patterson, 1966
           Order Lamniformes Berg, 1958 - mackerel sharks
           Order †Mongolepidida Karatajute-Talimaa et al., 1990 see Order Mongolepidiformes
           Order Myliobatiformes Compagno, 1973 - stingrays
           Order Orectolobiformes Compagno, 1973 - carpet sharks
           Order Pristiformes - guitarfishes and sawfishes see Order Rhinopristiformes Naylor, Caira, Jensen, Rosana, Straube & Lakner, 2012
           Order Pristiophoriformes Compagno, 1973 - saw sharks
           Order Rajiformes Berg, 1940 - skates
           Order Squaliformes Compagno, 1973 - dogfish sharks
           Order Squatiniformes Buen, 1926 - angel sharks
           Order Torpediniformes de Buen, 1926 - electric rays
           Order †Xenacanthiformes Berg, 1955