Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
   Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes see Infraclass Elasmobranchii Bonaparte, 1838
     Cohort Euselachii Hay, 1902 - spined sharks and relatives see Subclass Euselachii Hay, 1902
       Subcohort Neoselachii Compagno, 1977 - modern sharks and rays see Infraclass Elasmobranchii Bonaparte, 1838
         Superorder Rajomorphii - rays see Superorder Batoidea
           1 Order Pristiformes - guitarfishes and sawfishes see Order Rhinopristiformes Naylor, Caira, Jensen, Rosana, Straube & Lakner, 2012
           2 Order Rhinobatiformes Müller & Henle, 1837 - guitarfishes see Order Rhinopristiformes Naylor, Caira, Jensen, Rosana, Straube & Lakner, 2012
           3 Order Torpediniformes de Buen, 1926 - electric rays
           4 Order Rajiformes Berg, 1940 - skates
           5 Order Myliobatiformes Compagno, 1973 - stingrays