Vertebrata Cuvier, 1812 - vertebrates
Gnathostomata
Class Chondrichthyes Huxley, 1880 - cartilaginous fishes
Subclass Elasmobranchii Bonaparte, 1838 - shark-like fishes
Superorder Euselachii Hay, 1902
see Infraclass Euselachii Hay, 1902
Order Galeomorpha
see Superorder Galeomorphii Compagno, 1973
1 Family †Palaeospinacidae Regan, 1906
2 Suborder Heterodontoidea (Hay, 1902) [monotypic]
see Order Heterodontiformes Compagno, 1973
3 Suborder Orectoloboidea Maylor, 2012
see Order Orectolobiformes Compagno, 1973
4 Suborder Lamnoidea
see Order Lamniformes Berg, 1958
5 Suborder Carcharhinoidea
see Order Carcharhiniformes Compagno, 1973
6 Suborder Hexanchoidea
see Order Hexanchiformes Compagno, 1973