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 Surirellales D.G.Mann (1990)
         Family Surirellaceae Kütz. (1844)
           1 Genus Hydrosilicon Brun (1891)
           2 Genus Petrodictyon D.G.Mann (1990)
           3 Genus Plagiodiscus Grunow & Eulenst. (1867)
           4 Genus Stenopterobia Bréb. ex Van Heurck (1896)
           5 Genus Surirellaᵀ Turpin (1828)
           6 Genus Campylodiscus Ehrenb. (1840)
           7 Genus Cymatopleura W.Sm. (1851)