Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes
   Cohort Euselachii Hay, 1902 - spined sharks and relatives see Infraclass Euselachii Hay, 1902
     Subcohort Neoselachii Compagno, 1977 - modern sharks and rays see Cohort Neoselachii Compagno, 1977
       01 Order Hexanchiformes Compagno, 1973 - six-gill sharks
       02 Order Squaliformes Compagno, 1973 - dogfish sharks
       03 Order Pristiophoriformes Compagno, 1973 - saw sharks
       04 Order Squatiniformes Buen, 1926 - angel sharks
       05 Order Heterodontiformes Compagno, 1973 - bullhead sharks
       06 Order Orectolobiformes Compagno, 1973 - carpet sharks
       07 Order Lamniformes Berg, 1958 - mackerel sharks
       08 Order Carcharhiniformes Compagno, 1973 - ground sharks
       09 Order Pristiformes - sawfishes
       10 Order Rhinobatiformes Müller & Henle, 1837 - guitarfishes see Order Rajiformes Berg, 1940
       11 Order Torpediniformes - electric rays
       12 Order Rajiformes Berg, 1940 - skates
       13 Order Myliobatiformes Compagno, 1973 - stingrays