| 1 (1) | Robust or sturdy perennials; caespitose or with a creeping, ligneous rhizome (but, first-season plants of C. aucheri resemble annuals, 4). |  | (1) | 
  | + | Short-lived perennials or slender annuals; roots fibrous. |  | (2) | 
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  | 2 (1) | Leaf blades reduced; Primary rays and foliose involucral bracts and primary rays up to 20. |  | 22 C. alternifolius | 
  | + | Leaf blades well developed; primary rays and involucral bracts up to 5. |  | (3) | 
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  | 3 (2) | Caespitose plants with tillers, old dark tillers remain tightly attached to base of new shoots; inflorescence a single head with 4-20 compressed spikes. |  | 28 C. niveus | 
  | + | Rhizome long-creeping (mostly deep in sand) giving rise to aerial shoots, or plants caespitose; inflorescence mostly a multiple spike or formed by several capitula, sometimes in stunted plants (notably C. conglomeratus subsp. curvulus) inflorescence reduced to few or single spike. |  | (4) | 
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  | 4 (3) | Nuts winged; roots tomentose. |  | 27 C. aucheri | 
  | + | Nuts not winged; roots tomentose or glabrous. |  | (5) | 
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  | 5 (5) | Caespitose plants or rhizome short; roots tomentose. |  | (5) | 
  | + | Rhizome long-creeping, roots glabrous. |  | 23 C. arenarius | 
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  | 6 | Plants tall; inflorescence a compact globose head. |  | 26 C. pachyrhizus | 
  | + | Plants small; inflorescence an anthelodium. |  | (7) | 
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  | 7 (6) | Plants rather small and slender; basal sheaths soft; roots glabrous. |  | 24 C. atkinsoni | 
  | + | Plants rigid; basal sheeths hard; roots tomentose. |  | 25 C. conglomeratus | 
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  | 8 (8) | Plants 10-40 cm; glumes obtuse or acute not recurved. |  | (8) | 
  | + | Plants 4-15 cm; glumes apiculate, conspicuously recurved. |  | (9) | 
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  | 9 (9) | Distal partial inflorescence with up to 15 spikes; ligule 0. |  | (9) | 
  | + | Distal partial inflorescence with up to 100 crowded spikes; ligule present. |  | (10) | 
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  | 10 (9) | Glumes 1.3-1.5 mm, straight; nut 0.5-0.7 mm, reticulate. |  | 29 C. haspan | 
  | + | Glumes 0.7-0.9 mm, rather cymbiform; nut 0.4-0.5 mm, papillose. |  | 30 C. tenuispica | 
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  | 11 | Spikes in globose heads of up to 100 spikes; glumes distinctly cymbiform, obtuse. |  | 31 C. difformis | 
  | + | Spikes in digitate groups of up to 40 spikes; glumes not distinctly cymbiform, acute. |  | 32 C. fuscus | 
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  | 12 | Glumes truncate, with 3-nerved keel and nerveless sides. |  | 33 C. cuspidatus | 
  | + | Glumes attenuate, sides conspicuously nerved. |  | (13) | 
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  | 13 (12) | Glumes 2.2-3 mm, sides with 2-3 nerves; stamens 3. |  | 35 C. steadii | 
  | + | Glumes 1.5-2.3 mm, sides with 3-4 nerves; stamens 1-2. |  | 34 C. squarrosus |