Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
   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
         1 Superorder Squalomorphii (Compagno, 1973) see Division Squalea (Shirai, 1996)
         2 Superorder Squatinomorphii Compagno, 1973 - angel sharks see Superorder Hypnosqualea Carvalho & Maisey, 1996
         3 Superorder Galeomorphii Compagno, 1973 see Division Galeomorphii Compagno, 1973
         4 Superorder Rajomorphii - rays see Superorder Batoidea