Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Sphaerellaria Haeckel, 1881
       Order Sphaerellata Haeckel, 1887
         Family †Parvivaccidae Pessagno & Yang, 1989
           Subfamily †Leugeoninae Yang & Wang, 1990
             Genus †Hexasphaera Hull, 1997, nom. illeg.