CCDB → Angiosperms → Aizoaceae → Conicosia
| Taxon name | Status | Median (n) |
| Conicosia pugioniformis (L.) N. E. Br. | Accepted | 9 |
| Conicosia pugioniformis subsp. alborosea (L. Bolus) Ihlenf. & Gerbaulet | Accepted | 9 |
| Conicosia pugioniformis subsp. muirii (N. E. Br.) Ihlenf. & Gerbaulet | Accepted | 9 |
| Conicosia capensis N. E. Br. | Synonym of Conicosia pugioniformis (L.) N. E. Br. | 9 |
| Conicosia pugioniformis | Synonym of Conicosia pugioniformis (L.) N. E. Br. | 9 |