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 Pyloniinae Haeckel, 1881
               1 Genus Larcospira Haeckel, 1887
               2 Genus Octopyle Haeckel, 1881
               3 Genus Pylonium Haeckel, 1881
               4 Genus Tetrapyle Müller, 1858