Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Spyridinata Ehrenberg, 1847
         Family Triospyrididae Haeckel, 1881
           Subfamily †Nephrospyridinae Haeckel, 1887
             1 Genus Nephrodictyum Haeckel, 1881
             2 Genus †Psychospyris Riedel & Sanfilippo, 1971