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 Dactyliosphaeroidea Squinabol, 1904
           1 Family †Patruliidae Dumitrica, 1989
           2 Family †Veghicycliidae Kozur & Mostler, 1972
           3 Family †Dactyliosphaeridae Squinabol, 1904 [monotypic]
           4 Family †Emiluviidae Dumitrica, 1995
           5 Family †Catenopylidae Dumitrica, 1989
           6 Family Pseudoaulophacidae Riedel, 1967