Division Bacillariophyta Engl. & Gilg (1919) see Phylum Bacillariophyta Engl. & Gilg (1919)
   Class Coscinodiscophyceae Round & R.M. Crawford (1990) - radial centrics
     Subclass Thalassiosirophycidae Round & R.M. Crawford (1990) see Class Mediophyceae Medlin & Kaczmarska (2004)
       Order Thalassiosirales Glezer & I.V. Makarova (1986)
         Family Skeletonemataceae M. Lebour (1930)
           1 Genus Skeletonemaᵀ Grev. (1865)
           2 Genus Detonula F. Schütt (1893)