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 Tholospyridinae Haeckel, 1887
             1 Genus Clathrobursa Haeckel, 1881
             2 Genus Cyrtostephanus Popofsky, 1913
             3 Genus Platybursa Haeckel, 1881
             4 Genus Tholospyris Haeckel, 1881
             5 Genus Tridictyopus Hertwig, 1879
             6 Genus Tristylospyris Haeckel, 1881