Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Stauraxonaria Afanasieva & Amon, 2005
       Order Lobatiradiata Afanasieva & Amon, 2005
         1 Family †Angulobracchiidae Baumgartner, 1980
         2 Family †Patulibracchiidae Pessagno, 1971
         3 Family †Hexaporobrachiidae Kozur & Mostler, 1979
         4 Family †Hagiastridae Riedel, 1971
         5 Family Suttoniidae Schaaf, 1976 [monotypic]
         6 Family Myelastridae Riedel, 1971