Belongs within: Heteroscleromorpha.
The Anthaspidellidae are an assemblage of Palaeozoic sponges with a relatively regular, simple skeletal structure (Carrera & Rigby 2004).
<==Anthaspidellidae [Heliospongiidae]
|--Brianispongia Pickett & Rigby 1983RB04
|--Virgaspongia Rigby & Manger 1994RB04
|--Cauliculospongia Rigby & Chatterton 1989RB04
|--Pseudomultistella Deng 1981RB04
|--Dactylites Finks 1960RB04
|--Jereina Finks 1960RB04
|--Lissocoelia Bassler 1927RB04
|--Velellospongia Liu, Rigby et al. 1998RB04
|--Coelocladia spinosa Girty 1908RB93
|--Capsospongia undulata (Walcott 1920)RB93
|--FieldospongiaRB93
|--Timorella permica Gerth 1929RB93
|--CalycocoeliaCR04
|--Heliospongia Girty 1908RB04
| `--H. vokesi King 1943RB93
|--Incrustatospongia Rigby & Boyd 2004RB04
| `--*I. superficiala Rigby & Boyd 2004RB04
|--Virgaspongiella Rigby & Boyd 2004RB04
| `--*V. ramosa Rigby & Boyd 2004RB04
|--Archaeoscyphia Hinde 1889CR04, T10
| |--*A. minganensis [=Archaeocyathus minganensis, Ethmophyllum minganensis]T10
| `--A. pulchraC00
`--RhopalocoeliaCR04
|--R. clarkiiC00
|--R. regularisC00
`--R. tenuisC00
*Type species of generic name indicated
References
[C00] Carrera, M. G. 2000. Epizoan-sponge interactions in the Early Ordovician of the Argentine Precordillera. Palaios 15: 261–272.
[CR04] Carrera, M. G., & J. K. Rigby. 2004. Sponges. In: Webby, B. D., F. Paris, M. L. Droser & I. G. Percival (eds) The Great Ordovician Biodiversification Event pp. 102–111. Columbia University Press.
[RB04] Rigby, J. K., & D. W. Boyd. 2004. Sponges from the Park City Formation (Permian) of Wyoming. Journal of Paleontology 78 (1): 71–76.
[RB93] Rigby, J. K., G. E. Budd, R. A. Wood & F. Debrenne. 1993. Porifera. In: Benton, M. J. (ed.) The Fossil Record 2 pp. 71–99. Chapman & Hall: London.
[T10] Taylor, T. G. 1910. The Archaeocyathinae from the Cambrian of South Australia with an account of the morphology and affinities of the whole class. Memoirs of the Royal Society of South Australia 2 (2): 55–188.