1. Species Neurocarpus acrostichoides (J.Agardh) Kuntze, 1891
2. Species Neurocarpus australis (Sonder) Kuntze
3. Species Neurocarpus crassinervius (Zanardini) Kuntze
4. Species Neurocarpus muelleri (Sonder) Kuntze
5. Species Neurocarpus undulatus (Holmes) Okamura
6. Species Neurocarpus woodwardia (Brown ex Turner) Kuntze
7. Species Neurocarpus angustifolius Schousboe ex Bornet, 1892 accepted as Dictyota fasciola var. repens (J.Agardh) Ardissone, 1883 (synonym)
8. Species Neurocarpus annularis Schousboe, 1892 accepted as Dictyota dichotoma (Hudson) J.V.Lamouroux, 1809 (synonym)
9. Species Neurocarpus appendiculatus Schousboe, 1892 accepted as Dictyota spiralis Montagne, 1846 (synonym)
10. Species Neurocarpus areolatus Schousboe, 1892 accepted as Dictyota dichotoma (Hudson) J.V.Lamouroux, 1809 (synonym)
11. Species Neurocarpus cokeri M.Howe, 1914 accepted as Dictyopteris cokeri (M.Howe) W.R.Taylor, 1945
12. Species Neurocarpus complanatus Schousboe, 1892 accepted as Dictyota spiralis Montagne, 1846 (synonym)
13. Species Neurocarpus crispatus Schousboe, 1892 accepted as Dictyota spiralis Montagne, 1846 (synonym)
14. Species Neurocarpus delicatulus (J.V.Lamouroux) Kuntze accepted as Dictyopteris delicatula J.V.Lamouroux, 1809
15. Species Neurocarpus dicaticatus (Okamura) Howe, 1924 accepted as Dictyopteris divaricata (Okamura) Okamura, 1932
16. Species Neurocarpus dichotomus Kuntze, 1891 accepted as Dictyopteris dichotoma (Kuntze) O.Schmidt, 1938
17. Species Neurocarpus divaricatus (Okamura) M.A.Howe, 1924 accepted as Dictyopteris divaricata (Okamura) Okamura, 1932 (synonym)
18. Species Neurocarpus hauckianus (Möbius) Kuntze accepted as Dictyopteris delicatula J.V.Lamouroux, 1809
19. Species Neurocarpus justii (J.V.Lamouroux) Kuntze accepted as Dictyopteris justii J.V.Lamouroux, 1809
20. Species Neurocarpus latiuscula (Okamura) Okamura, 1936 accepted as Dictyopteris latiuscula (Okamura) Okamura, 1932
21. Species Neurocarpus ligulatus (Suhr) Kuntze, 1891 accepted as Dictyopteris ligulata (Suhr) O.C.Schmidt, 1938
22. Species Neurocarpus macrocarpus (Areschoug) Kuntze, 1891 accepted as Dictyopteris macrocarpa (Areschoug) O.C.Schmidt, 1938
23. Species Neurocarpus membranaceus (Stackhouse) Weber & Mohr accepted as Dictyopteris membranacea (Stackhouse) Batters, 1902 accepted as Dictyopteris polypodioides (A.P.De Candolle) J.V.Lamouroux, 1809
24. Species Neurocarpus pardalis (Harvey) Kuntze, 1898 accepted as Dictyopteris australis (Sonder) Askenasy, 1888
25. Species Neurocarpus plagiogrammus (Montagne) Kuntze, 1891 accepted as Dictyopteris plagiogramma (Montagne) Vickers, 1905
26. Species Neurocarpus prolifera (Okamura) Kuntze, 1898 accepted as Dictyopteris prolifera (Okamura) Okamura, 1930
27. Species Neurocarpus repens (Okamura) Okamura, 1936 accepted as Dictyopteris repens (Okamura) Børgesen, 1924
28. Species Neurocarpus serratus (Areschoug) Kuntze, 1891 accepted as Dictyopteris serrata (Areschoug) Hoyt, 1920
29. Species Neurocarpus spiralis Schousboe, 1892 accepted as Dictyota dichotoma var. intricata (C.Agardh) Greville, 1830 (synonym)
30. Species Neurocarpus tenuifolius Schousboe, 1892 accepted as Dictyota fasciola var. repens (J.Agardh) Ardissone, 1883 (synonym)
31. Species Neurocarpus tenuissimus Schousboe, 1892 accepted as Dictyota dichotoma var. intricata (C.Agardh) Greville, 1830 (synonym)
32. Species Neurocarpus undulata (Holmes) Okamura, 1928 accepted as Dictyopteris undulata Holmes, 1896
33. Species Neurocarpus zonarioides (Farlow) M.A.Howe, 1914 accepted as Dictyopteris undulata Holmes, 1896
34. Species Neurocarpus areschougia (J.Agardh) Kuntze (uncertain)
35. Species Neurocarpus laciniatus Schousboe (uncertain)
36. Species Neurocarpus polypodioides Schousboe (uncertain)

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