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
         Superfamily Stichocapsoidea Haeckel, 1881
           1 Family Stichocapsidae Haeckel, 1881
           2 Family †Monicastericidae Kozur & Mostler, 1994
           3 Family †Bagotidae Pessagno & Whalen, 1982
           4 Family †Hsumidae Afanasieva & Amon, 2005, nom. null. see Family Hsuidae Pessagno & Whalen, 1982
           5 Family †Archaeodictyomitridae Pessagno, 1976
           6 Family †Unumidae Kozur, 1984