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 Amphipyndacea Riedel, 1967 see Superfamily Amphipyndacioidea Riedel, 1967
           1 Family Amphipyndacidae Riedel, 1967
           2 Family †Canoptidae Pessagno, 1979
           3 Family †Parvicingulidae Pessagno, 1977
           4 Family †Syringocapsidae Foreman, 1973
           5 Family †Spongocapsulidae Pessagno, 1977