Chordata Bateson, 1885 - chordates
   Class Elasmobranchii Bonaparte, 1838 see Subclass Elasmobranchii Bonaparte, 1838
     Subclass Selachii see Subdivision Selachii
       01 Order †Pleuropterygii [monotypic] see Order Cladoselachiformes
       02 Order †Acanthodei Gunnell, 1933 see Class Acanthodii Owen, 1846
       03 Order †Ichthyotomi (Cope)
       04 Order †Polyspondyli Jordan, 1963 [monotypic] see Order Ischnacanthiformes Berg, 1940
       05 Order Cestraciontes
       06 Order Selachophidichthyoidei [monotypic] see Order Hexanchiformes Compagno, 1973
       07 Order Notidani Jaekel, 1911 [monotypic] see Order Hexanchiformes Compagno, 1973
       08 Order Euselachii Hay, 1902 see Infraclass Euselachii Hay, 1902
       09 Order Tectospondyli
       10 Order Batoidei see Order Batoidea