Position in a system
| system | Vitae - living organisms |
| domain | Eukaryota Whittaker & Margulis, 1978 - lifeforms with nucletic cells |
| superregnum | Bikonta |
| Corticata | |
| Archaeplastida | |
| kingdom | Plantae Haeckel, 1866 - plants |
| divisio | Magnoliophyta - flowering plants |
| class | Rosopsida - eudicots |
| order | Caryophyllales Perleb |
| family | Cactaceae Jussieu |
| subfamily | Cactoideae Eaton |
| tribus | Cacteae Rchb. |
| genus | Cochemiea (K. Brandegee) Walton |
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