Division Bacillariophyta Engl. & Gilg (1919) see Phylum Bacillariophyta Engl. & Gilg (1919)
   Class Coscinodiscophyceae Round & R.M. Crawford (1990) - radial centrics
     Subclass Biddulphiophycidae Round & R.M. Crawford (1990) see Class Mediophyceae Medlin & Kaczmarska (2004)
       Order Triceratiales Round & R.M. Crawford (1990)
         Family Triceratiaceae Lemmerm. (1899)
           01 Genus Triceratium Ehrenb. (1839)
           02 Genus Odontella C.Agardh (1832)
           03 Genus Lampriscus A.Schmidt (1882)
           04 Genus Sheshukovia Glezer (1975)
           05 Genus Pseudoauliscus
           06 Genus Eupodiscus Bailey (1851)
           07 Genus Pleurosira (Menegh.) Trevar. (1848)
           08 Genus Amphitetras Ehrenb. (1840)
           09 Genus Cerataulus Ehrenb. (1843)
           10 Genus Auliscus Ehrenb. (1843)