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 Pyloniata Haeckel, 1881
         1 Superfamily Dactyliosphaeroidea Squinabol, 1904
         2 Superfamily Pylonioidea Haeckel, 1881
         3 Superfamily Larnacillioidea Haeckel, 1887