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)
           Suborder Gonyaulacineae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
             Family Gonyaulacaceae Er. Lindem. (1928)
               01 Subfamily Cribroperidinioideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
               02 Subfamily Gonyaulacoideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
               03 Subfamily †Leptodinioideae Fensome, F.J.R. Taylor, G. Norris, Sarjeant, Wharton & G.L. Williams (1993)
               04 Genus †Actinotheca Cookson & Eisenack (1960), incertae sedis
               05 Genus †Aireiana Cookson & Eisenack (1965), incertae sedis
               06 [Genus †Alaskadinium Duxbury (1977), incertae sedis]
               07 [Genus †Amphorosphaeridium Davey (1969), incertae sedis]
               08 Genus †Arachnodinium Wilson & Clowes (1982), incertae sedis
               09 Genus †Archeotectatum Habib (1972), incertae sedis
               10 [Genus †Arkellidinium Beju (1979), incertae sedis]
               11 [Genus †Bacchidinium R.J. Davey (1979), incertae sedis]
               12 Genus †Barbatacysta Courtinat (1989), incertae sedis
               13 Genus †Belodinium Cookson & Eisenack (1960), incertae sedis
               14 Genus †Callaiosphaeridium Davey & Williams (1966), incertae sedis
               15 Genus †Chytroeisphaeridia (Sarjeant) Downie & Sarjeant (1965), incertae sedis
               16 Genus †Cometodinium Deflandre & Courteville (1940), incertae sedis
               17 Genus †Compositosphaeridium Dodekova (1974), incertae sedis
               18 Genus †Coronifera Cookson & Eisenack (1958), incertae sedis
               19 Genus †Corradinisphaeridium Masure (1986), incertae sedis
               20 Genus †Diphasiosphaera Duxbury (1980), incertae sedis
               21 Genus †Discorsia Duxbury (1977), incertae sedis
               22 Genus †Dissiliodinium Drugg (1978), incertae sedis
               23 Genus †Emslandia Gerlach (1961), incertae sedis
               24 Genus †Escharisphaeridia Erkmen & Sarjeant (1980), incertae sedis
               25 Genus †Fibrocysta Stover & Evitt (1978), incertae sedis
               26 Genus †Filisphaera Bujak (1984), incertae sedis
               27 Genus †Foucheria Monteil (1992), incertae sedis
               28 Genus †Furzidinium Stancliffe (1991), incertae sedis
               29 Genus †Galeacysta Corradini & Biffi (1988), incertae sedis
               30 Genus †Gelatia Bujak (1984), incertae sedis
               31 Genus †Glossodinium Ioannides, Stavrinos & Downie (1977), incertae sedis
               32 Genus †Gongylodinium Fenton, Neves & Piel (1980), incertae sedis
               33 Genus †Gordiacysta Miles (1990), incertae sedis
               34 Genus †Habibacysta Head, Norris & Mudie (1989), incertae sedis
               35 Genus †Helbydinium Snape (1992), incertae sedis
               36 [Genus †Heliodinium Alberti (1961), incertae sedis]
               37 Genus †Hemiplacophora Cookson & Eisenack (1965), incertae sedis
               38 Genus †Hemisphaeridium Bujak (1980), incertae sedis
               39 [Genus †Hexasphaera R.F.A. Clarke & Verdier (1967), incertae sedis]
               40 Genus †Histiophora Klement (1960), incertae sedis
               41 Genus †Hurunuia Wilson (1984), incertae sedis
               42 Genus †Hystrichodinium Deflandre (1935), incertae sedis
               43 Genus †Hystrichosphaerina Alberti (1961), incertae sedis
               44 Genus †Invertocysta Edwards (1984), incertae sedis
               45 Genus †Isthmocystis Duxbury (1979), incertae sedis
               46 Genus †Kiokansium Stover & Evitt (1978), incertae sedis
               47 Genus †Komewuia Cookson & Eisenack (1960), incertae sedis
               48 Genus †Lagenorhytis Duxbury (1979), incertae sedis
               49 Genus †Lanternosphaeridium Morgenroth (1966), incertae sedis
               50 Genus †Liesbergia Berger (1986), incertae sedis
               51 Genus †Melitasphaeridium Harland & Hill (1979), incertae sedis
               52 Genus †Mosaicodinium Dodekova (1990), incertae sedis
               53 Genus †Muraticysta Head, Norris & Mudie (1989), incertae sedis
               54 Genus †Nelchinopsis Wiggins (1972), incertae sedis
               55 Genus †Neodiacrodium Federova-Shakhmundes (1975), incertae sedis
               56 Genus †Nexosispinum Davey (1979), incertae sedis
               57 Genus †Pervosphaeridium Yun (1981), incertae sedis
               58 Genus †Pilosidinium Courtinat (1989), incertae sedis
               59 Genus †Polystephanephorus Sarjeant (1961), incertae sedis
               60 Genus †Pontiadinium Stover & Evitt (1978), incertae sedis see Genus Komewuia Cookson & Eisenack (1960)
               61 Genus †Protoellipsodinium Davey & Verdier (1971), incertae sedis
               62 Genus †Pyxidinopsis Habib (1975), incertae sedis
               63 Genus †Saturnodinium Brinkhuis, Powell & Zevenboom (1992), incertae sedis
               64 Genus †Scriniodinium Klement (1957), incertae sedis
               65 Genus †Sentusidinium Sarjeant & Stover (1978), incertae sedis
               66 Genus †Sirmiodiniopsis Drugg (1978), incertae sedis
               67 [Genus †Speetonia Duxbury (1977), incertae sedis]
               68 Genus †Stephodinium Deflandre (1936), incertae sedis
               69 [Genus †Stomodinium He (1984), incertae sedis]
               70 Genus †Surculosphaeridium Davey, Downie, Sarjeant & Williams (1966), incertae sedis
               71 Genus †Taeniophora Klement (1960), incertae sedis
               72 [Genus †Tapeinosphaeridium Ioannides, Stavrinos & Downie (1977), incertae sedis]
               73 [Genus †Tenua Davey (1978), incertae sedis]
               74 Genus †Trichodinium Eisenack & Cookson (1960), incertae sedis
               75 Genus †Vexillocysta Harding (1990), incertae sedis see Genus Vexillocysta Harding (1998)
               76 Genus †Xenicodinium Klement (1960), incertae sedis
               77 Genus †Yalkalpodinium Morgan (1980), incertae sedis
               78 Genus †Kaiwaradinium Wilson (1978), incertae sedis