[Phylum] Chordata Bateson, 1885 - chordates
Subphylum Craniata auct.
Infraphylum Vertebrata Lamarck, 1801 - vertebrates
Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
Subclass Euselachii Hay, 1902 - sharks, rays, and related fossils
Infraclass Elasmobranchii Bonaparte, 1838
1 Family †Agaleidae Rees, 2000, incertae sedis
2 Family †Anachronistidae Duffin & Ward, 1983, incertae sedis
3 Family †Lugalepididae Karatajūtė-Talimaa, 1997, incertae sedis
4 Family †Mcmurdodontidae White, 1968, incertae sedis
5 Family †Ostenoselachidae Duffin, 1998, incertae sedis
6 Superorder Galeomorphi Compagno, 1973
7 Superorder Squalomorphi
8 Division Batomorphi - rays