| 1a | Stigmas 3 | 2 |
| 1b | Stigmas 2 | 12 |
| 2a | Glumes distichous at least in the lower part of spikelet | 3 |
| 2b | Glumes spirally arranged | 5 |
| 3a | Inflorescence reduced to single spikelets; involucral bract glume-like | F. ovata |
| 3b | Inflorescence with more than two spikelets; involucral bract setaceous or foliaceous | 4 |
| 4a | Perennials; involucral bract foliaceous; inflorescence a compound anthela; glumes glabrous | F. fusca |
| 4b | Annual; involucral bract setaceous; inflorescence a simple or sub-compound anthela; glumes apically sparsely ciliate | F. fimbristyloides |
| 5a | Leaf-sheath ligulate, with a fringe of short hairs | 6 |
| 5b | Leaf-sheath eligulate | 7 |
| 6a | Stem strongly compressed; involucral bract exceeding inflorescence; achene smooth | F. complanata |
| 6b | Stem not compressed; involucral bract shorter than inflorescence; achene verruculose | F. thomsonii |
| 7a | Spikelets in clusters | F. falcata |
| 7b | Spikelets solitary | 8 |
| 8a | Culm 3-angled | 9 |
| 8b | Culm 4 or 5-angled | 10 |
| 9a | Plant stoloniferous; culm with all leaves with a blade | F. pierotii |
| 9b | Plant not stoloniferous; culms with 1–3 leafless sheaths | F. umbellaris |
| 10a | Culm 4-angled; leaf blade bilaterally flattened, ensiform; spikelet globose | F. littoralis |
| 10b | Culm 5-angled; leaf blade (if present) dorsoventrally flattened, linear; spikelets elongated | 11 |
| 11a | Leaves with a blade; achene distinctly verruculose with 4–7 rows of transversely oblong epidermal cells | F. quinquangularis |
| 11b | Leaves reduced to bladeless sheath; achene sparsely verruculose with more than 9 rows of transversely linear-oblong epidermal cells | F. salbundia |
| 12a | Spikelets 1 to 3 | 13 |
| 12b | Spikelets several to many (sometimes, one or two spikelets in F.ferruginea, but glume is always apically puberulous) | 15 |
| 13a | Leaves with a blade; achene smooth, pitted with hexagonal cells | F. schoenoides |
| 13b | Leaves reduced to a bladeless sheath; achene coarsely rugulose with transverse wavy reticulation | 14 |
| 14a | Involucral bracts glume-like; spikelet nodding; achene margin verruculose | F. nutans |
| 14b | Involucral bract absent; spikelet erect; achene margin not verruculose | F. acuminata |
| 15a | Leaves eligulate | 16 |
| 15b | Leaves ligulate | 20 |
| 16a | Annual | 17 |
| 16b | Perennial | 18 |
| 17a | Style base fringed with a whorl of long pendent hairs covering the upper half of the nut | F. squarrosa |
| 17b | Style minutely ciliate at the top | F. aestivalis |
| 18a | Rhizome creeping; culm sparsely tufted; spikelets not angular | F. rigidula |
| 18b | Rhizome not creeping; culm densely tufted; spikelets slightly angular by the keeled glumes | 19 |
| 19a | Leaves flat or canaliculate, apex abruptly acuminate; glumes keel glabrous | F. cymosa var. spathacea |
| 19b | Leaves flat, apex subobtuse; glumes keel puberulous | F. fuscinux |
| 20a | Plant bearing stolons | F. stolonifera |
| 20b | Plant tufted, lacking stolons | 21 |
| 21a | Glumes puberulous, broadly ovoid, margin apically ciliate, apiculate; achene smooth, obscurely pitted with hexagonal cells | F. ferruginea |
| 22b | Glumes glabrous, margin hyaline, 3-veined, acute to apiculate; achene reticulate with transversely oblong cells | 22 |
| 22a | Spikelets 1–1.5 mm wide, angular by the keeled glume; glumes to 1.5 mm long | F. bisumbellata |
| 22b | Spikelets 2–4 mm wide, terete; glumes not keeled, over 1.5 mm long | F. dichotoma |