Division Bacillariophyta Engl. & Gilg (1919) see Phylum Bacillariophyta Engl. & Gilg (1919)
   Class Bacillariophyceae Haeckel (1878) - pennates
     Subclass Bacillariophycidae D.G.Mann (1990) - raphid diatoms
       01 Order Lyrellales D.G.Mann (1990)
       02 Order Mastogloiales D.G.Mann (1990)
       03 Order Dictyoneidales D.G.Mann (1990)
       04 Order Cymbellales D.G.Mann (1990)
       05 Order Achnanthales P.C.Silva (1962)
       06 Order Naviculales Bessey (1907)
       07 Order Thalassiophysales D.G.Mann (1990)
       08 Order Bacillariales Hendey (1937)
       09 Order Rhopalodiales D.G.Mann (1990)
       10 Order Surirellales D.G.Mann (1990)