| Kingdom | Plantae | Plants, but not fungi, lichens, or algae |
| Subkingdom | Tracheobionta | Vascular plants—plants with a “circulatory system” for delivering water and nutrients |
| Division | Magnoliophyta | Flowering plants, also known as angiosperms |
| Class | Magnoliopsida | Dicotyledons—plants with two initial seed leaves |
| Subclass | Caryophyllidae | Cacti, many other succulents, carnivorous plants, and leadworts |
| Order | Caryophyllales | Includes cacti, carnations, amaranths, ice plants, and many carnivorous plants |
| Family | Cactaceae | Succulent (water-storing) plants, often spiny |
| Genus | Opuntia | Prickly pears |
| Species | macrorhiza | |
| var. | macrorhiza | |
Opuntia compressa J.F. Macbr. var. grandiflora (Engelm.) D. Weniger， nom. nud.
Opuntia compressa J.F. Macbr. var. macrorhiza (Engelm.) L.D. Benson
Opuntia compressa J.F. Macbr. var. stenochila (Engelm.) D. Weniger， nom. nud.
Opuntia grandiflora Engelm.
Opuntia leptocarpa MacKensen
Opuntia mackensenii Rose
Opuntia plumbea Rose
Opuntia sphaerocarpa Engelm. & J.M. Bigelow
Opuntia tenuispina Engelm. & J.M. Bigelow
Opuntia tortispina Engelm. & J.M. Bigelow
Opuntia tortispina var. cymochila (Engelm. & J.M. Bigelow) Backeb.
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