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
         Superfamily Pylonioidea Haeckel, 1881
           Family Pyloniidae Haeckel, 1881
             Subfamily †Palaeotetrapylinae Dumitrica, 1988 [monotypic]
               1 Genus †Palaeotetrapyle Dumitrica, 1988