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 Archipilioidea Haeckel, 1881
           Family Archipiliidae Haeckel, 1881
             1 Subfamily Archipiliinae Haeckel, 1881
             2 Subfamily Clathromitrinae Petrushevskaya, 1971
             3 Subfamily †Zamolxinae Dumitrica, 1982
             4 Subfamily †Nabolellinae De Wever, Dumitrica, Caulet, Nigrini & Caridroit, 2001
             5 Subfamily Lophophaeninae Haeckel, 1881
             6 Subfamily Sethopiliinae Haeckel, 1881
             7 Subfamily Dimelissinae Petrushevskaya, 1981
             8 Subfamily Plectaniinae Haeckel, 1881