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
         1 Family Triospyrididae Haeckel, 1881
         2 Family Stephaniidae Haeckel, 1887
         3 Family Acanthodesmiidae Haeckel, 1862