Kingdom Protoctista Hogg, 1860
   Phylum Bacillariophyta Engl. & Gilg (1919) - diatoms see [unranked] Diatomea Kütz. (1844)
     Class Bacillariophyceae Haeckel (1878) - pennates
       Subclass Bacillariophycidae D.G.Mann (1990) - raphid diatoms
         Order Naviculales Bessey (1907)
           Suborder Naviculineae (Bessey) Hendey (1937)
             Family Pleurosigmataceae Mereschk. (1903)
               1 Genus Pleurosigma W.Sm. (1852)
               2 Genus Gyrosigma Hassall (1845)
               3 Genus Donkinia Ralfs (1861)
               4 Genus Toxonidea Donkin (1858)
               5 Genus Rhoicosigma Grunow (1867)