Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Dinokaryota Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) see Superclass Dinokaryota Fensome et al., 1993
     Class Dinophyceae Pascher (1914)
       Subclass Peridiniphycidae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
         Order Gonyaulacales F.J.R. Taylor (1980)
           001 Suborder Ceratiineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993) [monotypic]
           002 Suborder Cladopyxiineae Fensome et al. (1993)
           003 Suborder Goniodomineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
           004 Suborder Gonyaulacineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
           005 Suborder †Rhaetogonyaulacineae Norris (1978) [monotypic]
           006 Family Crypthecodiniaceae Biecheler ex Chatton (1952), incertae sedis [monotypic]
           007 Genus †Aiora Cookson & Eisenack (1960), incertae sedis
           009 Genus †Amiculosphaera Harland (1979), incertae sedis
           010 Genus †Atopodinium Drugg (1978), incertae sedis
           011 Genus †Balcattia Cookson & Eisenack (1974), incertae sedis
           012 Genus †Balteocysta Stover & Evitt (1978), incertae sedis
           013 Genus †Batiacasphaera Drugg (1970), incertae sedis
           016 Genus †Boreocysta Stover & Evitt (1978), incertae sedis
           017 Genus †Bourkidinium Morgan (1975), incertae sedis
           018 Genus †Bradleyella Woollam (1983), incertae sedis
           021 Genus †Caligodinium Drugg (1970), incertae sedis
           022 Genus †Carnarvonodinium Parker (1988), incertae sedis
           023 Genus †Cassiculosphaeridia Davey (1969), incertae sedis
           024 Genus †Cauca Davey & Verdier (1971), incertae sedis
           025 Genus Centrodinium Kof. (1907), incertae sedis
           026 Genus †Cerebrocysta Bujak (1980), incertae sedis
           028 Genus †Chlamydophorella Cookson & Eisenack (1958), incertae sedis
           030 Genus †Cirrusphaera Monteil (1992), incertae sedis
           031 Genus †Cleistosphaeridium Davey, Downie, Sarjeant & Williams (1966), incertae sedis
           033 Genus †Codoniella Cookson & Eisenack (1961), incertae sedis
           034 Genus †Dapsilidinium Bujak, Downie, Eaton & Williams (1980), incertae sedis
           035 Genus †Desmocysta Duxbury (1983), incertae sedis
           038 Genus †Dingodinium Cookson & Eisenack (1958), incertae sedis
           039 Genus †Dissimulidinium May, Stevens & Partridge (1987), incertae sedis
           040 Genus †Distatodinium Eaton (1976), incertae sedis
           041 Genus Dolichodinium Kof. & A.M. Adamson (1933), incertae sedis
           042 Genus †Dorocysta Davey (1970), incertae sedis
           043 Genus †Duosphaeridium Davey & Williams (1966), incertae sedis
           044 Genus †Ellipsodinium Clarke & Verdier (1967), incertae sedis
           045 Genus †Ellipsoidictyum Klement (1960), incertae sedis
           046 Genus †Elytrocysta Stover & Evitt (1978), incertae sedis
           047 Genus †Epiplosphaera Klement (1960), incertae sedis
           048 Genus †Exochosphaeridium Davey, Downie, Sarjeant & Williams (1966), incertae sedis
           050 Genus †Fistulacysta Davey (1988), incertae sedis
           051 Genus †Flamingoia Stevens & Helby (1987), incertae sedis
           052 Genus †Fusiformacysta Morgan (1975), incertae sedis
           053 Genus †Gagiella Backhouse (1988), incertae sedis
           054 Genus †Gardodinium Alberti (1961), incertae sedis
           055 Genus Goniodinium Dangeard (1927), incertae sedis
           056 Genus †Gramocysta Lund & Lund-Christensen (1990), incertae sedis
           057 Genus †Hapsidaulax Sarjeant (1975), incertae sedis
           058 Genus †Heslertonia Sarjeant (1966), incertae sedis
           059 Genus †Heterosphaeridium Cookson & Eisenack (1968), incertae sedis
           060 Genus †Hurlandsia Lister & Batten (1988), incertae sedis
           061 Genus †Impletosphaeridium Morgenroth (1966), incertae sedis
           062 Genus †Indodinium Kumar (1986), incertae sedis
           063 Genus †Jansonia Pocock (1972), incertae sedis
           065 Genus †Labyrinthodinium Piasecki (1980), incertae sedis
           066 Genus †Lacunodinium He (1984), incertae sedis
           067 Genus †Laticavodinium Wilson & Sarjeant (1984), incertae sedis
           068 Genus †Levisphaera Davey (1988), incertae sedis
           069 Genus †Membranilarnacia Eisenack (1963), incertae sedis
           070 Genus †Membranilarnax Wetzel (1933), incertae sedis
           071 Genus †Mendicodinium Morgenroth (1970), incertae sedis
           072 Genus †Microsphaeridium Benedek (1972), incertae sedis
           073 Genus †Montanarocysta Corradini (1973), incertae sedis
           074 Genus †Mooradinium Backhouse (1988), incertae sedis
           075 Genus †Omatidium Courtinat (1980), incertae sedis
           076 Genus †Pannosiella Batten & Lister (1988), incertae sedis
           077 Genus †Papuadinium Davey (1988), incertae sedis
           078 Genus †Parvocavatus Gitmez (1970), incertae sedis
           079 Genus †Parvulodinium Dodekova (1975), incertae sedis
           080 Genus †Paucibucina Jiabo (1978), incertae sedis
           081 Genus †Paucisphaeridium Bujak, Downie, Eaton & Williams (1980), incertae sedis
           082 Genus †Peridictyocysta Cookson & Eisenack (1974), incertae sedis
           083 Genus Peridiniella Kof. & J.R. Michener (1911), incertae sedis
           084 Genus †Phanerodinium Deflandre (1937), incertae sedis
           085 Genus Planodinium R.D. Saunders & J.D. Dodge (1984), incertae sedis
           086 Genus †Polygonifera Habib (1972), incertae sedis
           087 Genus †Productodinium Davey (1988), incertae sedis
           089 Genus †Raetiaedinium Kirsch (1991), incertae sedis
           090 Genus †Raphidodinium Deflandre (1936), incertae sedis
           091 Genus †Resticulasphaera Harding (1990), incertae sedis see Genus Resticulasphaera Harding (1998)
           092 Genus †Reticulatosphaera Matsuoka (1983), incertae sedis
           093 Genus †Romanodinium Baltes (1971), incertae sedis
           094 Genus †Sahulidinium Stover & Helby (1987), incertae sedis
           095 Genus †Sokolovidinium Lentin & Vozzhennikova (1990), incertae sedis
           096 Genus †Spiniferopsis He (1984), incertae sedis
           097 Genus †Tanyosphaeridium Davey & Williams (1966), incertae sedis
           098 Genus †Tetrachacysta Backhouse (1988), incertae sedis
           099 Genus Thecadiniopsis Croome, Hallegr. & P.A. Tyler (1987), incertae sedis
           100 Genus †Thecadinium Kof. & Skogsb. (1928), incertae sedis
           102 Genus †Trigonopyxidia Cookson & Eisenack (1961), incertae sedis
           104 Genus †Valensiella Eisenack (1963), incertae sedis
           105 Genus †Warrenia Monteil (1992), incertae sedis
           106 Genus †Xiphophoridium Sarjeant (1966), incertae sedis
           107 Family Heterodiniaceae Er. Lindem. (1928), incertae sedis [monotypic]