Order Squaliformes Compagno, 1973
Order Squaliformes Compagno, 1973c, J.Linn.Soc.(Zool.), Lond., 53, suppl. 1.
Synonymy:
Order Cyclospondyli: Jordan and Evermann, 1896, Fowler, 1941, Smith, 1949
Order Euselachii, Suborder Squaloidea: Blot, 1969 (in part)
Suborder Galei: Gill, I872 (in part)
Order Lamniformes, Suborder Squaloidei: Patterson, 1967 (in part)
Suborder Plagiostomi Cyclospondyli: Hasse, 1879
Order Squalea, Suborder Squalida: White, 1936, 1937 (in part)
Suborder Squali: Gill, 1862 (in part)
Order Squaliformes: Rass and Lindberg, 1971, Applegate, 1974, Chu and Wen, 1979
Order Squaliformes, Suborder Squaloidei: Berg, 1940 (in part), Berg and Svedovidov, 1955 (in part), Arambourg and Bertin (1958) (in part)
Suborder Squaliformes: Goodrich, 1909 (in part), Lozano y Rey, 1928, Bertin, 1939 (in part), Budker and Whitehead, 1971
Suborder Squalina: Matsubara, 1955, Fowler, 1968a
Order and Suborder Squaloidea: Schultz and Stern, 1948
Suborder Squaloidea: Romer, 1945, 1966 (in part), Bigelow and Schroeder, 1948, Norman, 1966
"Division" Squaloidei: Regan, 1906 (in part)
"Group" Squaloidei: Garman, 1913 (in part)
Suborder Squaloidei: Engelhardt, 1913 (in part), Lindberg, 1971, Nelson, 1976
Order Squatiniformes, Suborders Echinorhinoidei and Squaloidei: Glikman, 1967
Order Tectospondyli: Gill, 1893, Whitley, 1940
Order Tectospondyli, Suborder Squaloidei: Jordan 1923.