Order Hexanchiformes Compagno, 1973
Order Hexanchiformes Compagno, 1973c, J.Linn.Soc.(Zool.), Lond., 53, suppl. 1:37 p.
Synonymy:
Superorder Carcharhini, Order Hexanchida, Suborder Hexanchoidei: Glikman, 1967 (in part)
Superorder Chlamydoselachii, Order Chlamydoselachida: Glikman, 1967 (in part)
Order Chlamydoselachiformes: Rass and Lindberg, 1971 (in part), Applegate, 1974 (in part)
Suborder Chlamydoselachoidea: Bigelow and Schroeder, 1948 (in part)
Order Diplospondyli: Jordan and Evermann, 1896, Fowler, 1941, Smith, 1949
Suborder Galei: Gill, 1872 (in part)
Order Hexanchea: White, 1936, 1937, Whitley, 1940 (in part)
Order Hexanchida: Fowler, 1967a
Suborder Hexanchida: Matsubara, 1955
Order Hexanchiformes: Berg, 1940, Berg and Svedovidov, 1955, Arambourg and Bertin, 1958, Patterson, 1967, Lindberg, 1971, Rass and Lindberg, 1971 (in part), Applegate, 1974 (in part), Nelson, 1976, Chu and Wen, 1979
Suborder Hexanchiformes: Budker and Whitehead, 1971
Order Hexanchoidea: Schultz and Stern, 1948
Suborder Hexanchoidea: Romer, 1966
"Group" Hexanchoidei: Garman, 1913
Order Notidani: Jordan, 1923 (in part)
Suborder Notidani: Goodrich, 1909
Suborder Notidaniformes: Lozano y Rey, 1928, Bertin, 1939
Suborder Notidanoidea: Romer, 1945, Bigelow and Schroeder, 1948 (in part), Norman, 1966
"Division" Notidanoidei: Regan, 1906
Suborder Notidanoidei: Engelhardt, 1913
Order Opistharthri: Gill, 1893
(? Suborder) Palaeonotidani: Hasse, 1879
Order Pternodonta: Gill, 1884 (in part)
Order Selachii: Blot, 1969 (in part)
Order Selachophichthyoidi: Garman, 1884 (in part), Jordan, 1923 (in part), Whitley, 1940 (in part)