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 Acanthodesmiidae Haeckel, 1862
           Subfamily Circospyridinae Haeckel, 1881
             Genus Toxidium Haeckel, 1887, nom. illeg. see Genus Toxidiella Loeblich & Tappan, 1961