Division Bacillariophyta Engl. & Gilg (1919) see Phylum Bacillariophyta Engl. & Gilg (1919)
   Class Bacillariophyceae Haeckel (1878) - pennates
     Subclass Bacillariophycidae D.G.Mann (1990) - raphid diatoms
       Order Cymbellales D.G.Mann (1990)
         1 Family Rhoicospheniaceae Chen & Zhu (1983)
         2 Family Anomoeoneidaceae D.G.Mann (1990)
         3 Family Cymbellaceae Grev. (1833)
         4 Family Gomphonemataceae Kütz. (1844)