Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
   Order Polycystina Ehrenberg, 1838 see Class Polycystina Ehrenberg, 1838
     Suborder Nassellaria Ehrenberg, 1875 see Class Nassellaria Ehrenberg, 1847
       1 Family Plagoniidae Haeckel, 1881
       2 Family Trissocyclidae Haeckel, 1881 see Family Acanthodesmiidae Haeckel, 1862
       3 Family Carpocaniidae Haeckel, 1881
       4 Family Theoperidae Haeckel, 1881
       5 Family Pterocoryidae Haeckel, 1881
       6 Family Artostrobiidae Riedel, 1967
       7 Family Cannobotryidae Haeckel, 1881