Class Actinopoda Calkins, 1902 see Parvkingdom Actinopoda Calkins, 1902
   Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
     Superorder Polycystina Ehrenberg, 1838 see Class Polycystinea Ehrenberg, 1838
       Order Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
         Superfamily Acanthodesmiacea Haeckel, 1862 see Order Spyridinata Ehrenberg, 1847
           1 Family Triospyrididae Haeckel, 1881
           2 Family Acanthodesmiidae Haeckel, 1862
           3 Family Stephaniidae Haeckel, 1887