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
           Family Stichocapsidae Haeckel, 1881
             Subfamily †Sethocapsinae Haeckel, 1881
               1 Genus †Acotripus Haeckel, 1881
               2 Genus †Cryptocapsa Haeckel, 1881
               3 Genus †Sethocapsa Haeckel, 1881
               4 Genus †Tetracapsa Haeckel, 1881
               5 Genus †Tripodiscus Haeckel, 1881
               6 Genus †Trisyringium Vinassa, 1900
               7 Genus †Urocyrtis Pantanelli, 1880