Class Dinophyceae Pascher (1914)
   Order Noctilucales Haeckel (1894)
     Family Leptodiscaceae Kof. (1905)
       1 Genus Cachonodinium A.R. Loebl. (1980)
       2 Genus Craspedotella Kof. (1905)
       3 Genus Leptodiscus Hertwig (1877)
       4 Genus Leptophyllus Cachon & Cachon-Enj. (1964), nom. rej. see Genus Abedinium Loebl. & A.R. Loebl. (1966)
       5 Genus Petalodinium Cachon & Cachon-Enj. (1969)
       6 Genus Scaphodinium Margalef (1963) [monotypic]