Position in a system
| system | Vitae - living organisms |
| domain | Eukaryota Whittaker & Margulis, 1978 - lifeforms with nucletic cells |
| superregnum | Bikonta - bikonts |
| Corticata | |
| Archaeplastida | |
| phylum | Rhodophyta Wettst - red algae |
| subphylum | Rhodophytina |
| class | Florideophyceae Cronquist |
| subclass | Rhodymeniophycidae |
| order | Rhodymeniales Nägeli |
| family | Rhodymeniaceae Harvey |
| genus | Cryptarachne (Harvey) Kylin |
| species | Cryptarachne agardhii |