Class Actinopoda Calkins, 1902
see Parvkingdom Actinopoda Calkins, 1902
Subclass Radiolaria Müller, 1858
see Phylum Actinopoda Calkins, 1902
Superorder Polycystina Ehrenberg, 1838
see Class Polycystinea Ehrenberg, 1838
Order Spumellaria Ehrenberg, 1875
see Class Spumellaria Ehrenberg, 1875
Superfamily Pyloniacea Haeckel, 1881
see Superfamily Pylonioidea Haeckel, 1881
Subsuperfamily Dactyliosphaerilae Squinabol, 1904
see Superfamily Dactyliosphaeroidea Squinabol, 1904
Family †Hagiastridae Riedel, 1971
Genus †Orbiculiforma Pessagno, 1973