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 Neidiineae D.G.Mann (1990)
             1 Family Amphipleuraceae Grunow (1862)
             2 Family Brachysiraceae D.G.Mann (1990)
             3 Family Neidiaceae Mereschk. (1903)
             4 Family Diadesmidaceae D.G.Mann (1990)