Division Dinoflagellata Engl. (1903) see Superclass Dinoflagellata Bütschli, 1885
   Subdivision Syndinia [monotypic]
     Class Syndiniophyceae A.R. Loebl. (1976) [monotypic] see Class Syndinea Chatton, 1920
       Order Syndiniales A.R. Loebl. (1976)
         Family Syndiniaceae Chatton (1920)
           Genus Solenodinium (Chatton) Chatton (1938) see Subgenus Syndinium subg. Solenodinium (Chatton)