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| Kingdom | Plantae
– plantes, Planta, Vegetal, plants |
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| Subkingdom | Viridiplantae
– green plants |
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| Infrakingdom | Streptophyta
– land plants |
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| Superdivision | Embryophyta
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| Division | Tracheophyta
– vascular plants, tracheophytes |
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| Subdivision | Spermatophytina
– spermatophytes, seed plants, phanérogames |
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| Class | Magnoliopsida
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| Superorder | Caryophyllanae
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| Order | Caryophyllales
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| Family | Cactaceae Juss.
– cactus, cacti |
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| Genus | Gymnocalycium Pfeiff. ex Mittler |
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Direct Children: |
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| Species | Gymnocalycium alboareolatum Rausch
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| Species | Gymnocalycium amerhauseri H. Till
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| Species | Gymnocalycium andreae (Boed.) Backeb.
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| Species | Gymnocalycium anisitsii (K. Schum.) Britton & Rose
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| Species | Gymnocalycium baldianum (Speg.) Speg.
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| Species | Gymnocalycium bayrianum H. Till
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| Species | Gymnocalycium berchtii Neuhuber
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| Species | Gymnocalycium bodenbenderianum A. Berger
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| Species | Gymnocalycium bruchii (Speg.) Hosseus
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| Species | Gymnocalycium calochlorum (Boed.) Y. Itô
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| Species | Gymnocalycium capillaense (Schick) Hosseus
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| Species | Gymnocalycium castellanosii Backeb.
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| Species | Gymnocalycium chiquitanum Cárdenas
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| Species | Gymnocalycium denudatum (Link & Otto) Pfeiff. ex Mittler
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| Species | Gymnocalycium erinaceum J.G. Lamb
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| Species | Gymnocalycium eurypleurum F. Ritter
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| Species | Gymnocalycium gibbosum (Haw.) Pfeiff. ex Mittler
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| Species | Gymnocalycium glaucum F. Ritter
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| Species | Gymnocalycium horstii Buining
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| Species | Gymnocalycium hossei (Haage) A. Berger
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| Species | Gymnocalycium kieslingii O. Ferrari
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| Species | Gymnocalycium kroenleinii R. Kiesling
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| Species | Gymnocalycium marsoneri Fric ex Y. Itô
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| Species | Gymnocalycium mesopotamicum R. Kiesling
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| Species | Gymnocalycium mihanovichii (Fric & Gürke) Britton & Rose
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| Species | Gymnocalycium monvillei (Lem.) Pfeiff. ex Britton & Rose
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| Species | Gymnocalycium mostii (Gürke) Britton & Rose
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| Species | Gymnocalycium neuhuberi H. Till & W. Till
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| Species | Gymnocalycium nigriareolatum Backeb.
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| Species | Gymnocalycium ochoterenae Backeb.
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| Species | Gymnocalycium oenanthemum Backeb.
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| Species | Gymnocalycium paraguayense (Mundt ex K. Schum.) Hosseus
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| Species | Gymnocalycium pflanzii (Vaupel) Werderm.
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| Species | Gymnocalycium pugionacanthum Backeb. ex H. Till
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| Species | Gymnocalycium ragonesei A. Cast.
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| Species | Gymnocalycium reductum (Link) Pfeiff. ex Mittler
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| Species | Gymnocalycium rhodantherum (Boed.) H. Till
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| Species | Gymnocalycium ritterianum Rausch
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| Species | Gymnocalycium robustum R. Kiesling, O. Ferrari & Metzing
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| Species | Gymnocalycium saglionis (F. Cels) Britton & Rose
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| Species | Gymnocalycium schickendantzii (F.A.C. Weber) Britton & Rose
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| Species | Gymnocalycium schroederianum Osten
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| Species | Gymnocalycium spegazzinii Britton & Rose
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| Species | Gymnocalycium stellatum (Scheidw.) Speg.
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| Species | Gymnocalycium stenopleurum F. Ritter
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| Species | Gymnocalycium striglianum Jeggle & H. Till
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| Species | Gymnocalycium taningaense Piltz
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| Species | Gymnocalycium uebelmannianum Rausch
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| Species | Gymnocalycium uruguayense (Arechav.) Britton & Rose
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