Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         1 Superfamily Archipilioidea Haeckel, 1881
         2 Superfamily Acropyramidoidea Haeckel, 1881
         3 Superfamily Lychnocanioidea Haeckel, 1881
         4 Superfamily Eucyrtidioidea Ehrenberg, 1847
         5 Superfamily Stichocapsoidea Haeckel, 1881
         6 Superfamily Amphipyndacioidea Riedel, 1967
         7 Superfamily Cannobotryoidea Haeckel, 1881