Phylum Radiolaria Müller, 1858
see Subphylum Radiozoa Cavalier-Smith, 1987
Superclass Polycystina Ehrenberg, 1838
see Superclass Polycystinia Ehrenberg, 1838
Class Spumellaria Ehrenberg, 1875
1 Order †Echidninata Kozur, Mostler & Repetski, 1996 [monotypic]
2 Order Cancelliata Afanasieva & Amon, 2003
3 Order †Spongiata Afanasieva & Amon, 2003
4 Order Capsulata Afanasieva & Amon, 2005
5 Order †Prodigiata Afanasieva & Amon, 2005
6 Order Saturnalata Afanasieva & Amon, 2005