Phylum Chordata Bateson, 1885 - chordates
Subphylum Vertebrata Cuvier, 1812 - vertebrates
Pisces
Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes
Order Carcharhiniformes Compagno, 1973 - ground sharks
Order †Cladodontiformes
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, 1998
Order Myliobatiformes Compagno, 1973 - stingrays
Order Orectolobiformes Compagno, 1973 - carpet sharks
Order Pristiformes - sawfishes
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 - electric rays
Order †Xenacanthiformes Berg, 1955