Position in a system
| system | Vitae - living organisms |
| domain | Eukaryota Whittaker & Margulis, 1978 - lifeforms with nucletic cells |
| superregnum | Bikonta - bikonts |
| Corticata | |
| Archaeplastida | |
| kingdom | Plantae Haeckel - plants |
| divisio | Monilophyta Cantino et Donoghue - ferns and horsetails |
| class | Equisetopsida C. Agardh |
| order | Cladoxylales Zimmerm. † |
| family | Iridopteridaceae Arnold † |
| Iridopteridaceae incertae sedis | |
| genus | Iridopteris Arnold † |