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 Actinommacea Haeckel, 1862 [polyphyletic?]
see Order Actinommata Haeckel, 1862
Actinommacea with double medullary shell
Family Coccodiscidae Haeckel, 1862
Subfamily Coccodiscinae Haeckel, 1862
Genus Sethostylus Haeckel, 1881