Hexanchiformes Compagno, 1973

Chlamydoselachidae Garman, 1884

Eonotidanus Pfeil, 1983

Heptranchidae

Hexanchidae Gray, 1851

Mcmurdodontidae

Mcmurdodus White, 1968

Notidanodon Cappetta, 1975

Notidanoides Maisey, 1986

Notorynchidae Compagno, 1999

Orthacodontidae

Pachyhexanchus Cappetta, 1990

Paraheptranchias Pfeil, 1981

Pseudonotidanidae Underwood & Ward, 2004

Sphenodus Agassiz, 1843

Thrinax Pfeil, 1983

Welcommia Cappetta, 1990