Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Spumellaria Ehrenberg, 1875
       Order Cancelliata Afanasieva & Amon, 2003
         Family †Haplentactiniidae Nazarov, 1980
           1 Subfamily †Haplentactiniinae Nazarov, 1980
           2 Subfamily †Pseudorotasphaerinae Noble, 1994
           3 Subfamily †Haplotaeniatinae Afanasieva & Amon, 2005