Kingdom Protoctista Hogg, 1860
   Phylum Bacillariophyta Engl. & Gilg (1919) - diatoms see [unranked] Diatomea Kütz. (1844)
     Class Fragilariophyceae Round (1990) - araphid, pennate diatoms see Class Bacillariophyceae Haeckel (1878)
       Subclass Fragilariophycidae Round (1990) - core araphid diatoms
         Order Toxariales Round (1990)
           1 Family Toxariaceae Round (1990)