Subclass Radiolaria Müller, 1858 see Phylum Actinopoda Calkins, 1902
   Order Polycystina Ehrenberg, 1838 see Class Polycystina Ehrenberg, 1838
     Suborder Spumellaria Ehrenberg, 1875 see Class Spumellaria Ehrenberg, 1875
       1 Family Collosphaeridae Müller, 1858
       2 Family Actinommidae Haeckel, 1862
       3 Family Sponguridae Haeckel, 1862
       4 Family Phacodiscidae Haeckel, 1881 see Subfamily Coccodiscinae Haeckel, 1862
       5 Family Spongodiscidae Haeckel, 1862
       6 Family Pyloniidae Haeckel, 1881
       7 Family Litheliidae Haeckel, 1862