Class Dinophyceae Pascher (1914)
   Order Brachydiniales Sournia (1984) see Order Brachidiniales A.R. Loebl. ex Sournia (1984)
     Family Brachydiniaceae Sournia (1972) see Family Brachidiniaceae Sournia (1972)
       1 Genus Asterodinium Sournia (1972)
       2 Genus Brachydinium F.J.R. Taylor (1963) see Genus Brachidinium F.J.R. Taylor (1963)