Type species: Hemitrypa oculata Phillips, 1841
This genus includes the species:
| (Sandberger & Sandberger, 1855) | Middle Devonian | Germany | WoRMS 1411457 | |
| Suárez-Andrés & Ernst, 2014 | Devonian Emsian-Eifelian | Spain | WoRMS 1403682 | |
| Snyder, 1991 | Carboniferous Mississippian Visean | USA Illinois | WoRMS 1403683 | |
| Ulrich, 1890 | Carboniferous Mississippian Visean | USA Illinois, Iowa | WoRMS 1403684 | |
| Troizkaya, 1968 | Late Devonian Frasnian | Russia | WoRMS 1403685 | |
| Cumings, 1906 | Carboniferous Mississippian Visean | USA Indiana | WoRMS 1403686 | |
| Nekhoroshev, 1953 | Carboniferous Mississippian Tournaisian | Kazakhstan | WoRMS 1403687 | |
| Hall, 1885 | Early Devonian Emsian | USA New York | WoRMS 1403688 | |
| Hall, 1879 | Early Devonian Lochkovian | USA New York | WoRMS 1403689 | |
| Hall & Simpson, 1887 | Early Devonian Lochkovian | USA New York | WoRMS 1414891 | |
| Počta, 1894 | Early Devonian Pragian-Emsian | Czech Republic | WoRMS 1403690 | |
| Nekhoroshev, 1948 | Middle Devonian Givetian | Russia | WoRMS 1403691 | |
| Nikiforova, 1926 [?1927] | Carboniferous Mississippian Tournaisian | Russia | WoRMS 1403692 | |
| Nekhoroshev, 1953 | Carboniferous Mississippian Tournaisian | Kazakhstan | WoRMS 1403693 | |
| Ernst, 2012 | Early-Middle Devonian | Spain | WoRMS 1403694 | |
| Shishova, 1960 | Carboniferous Pennsylvanian Bashkirian-Moscovian | Russia Transbaikal | WoRMS 1403695 | |
| Crockford, 1947 | Carboniferous Mississippian Tournaisian-Visean | Australia NSW | WoRMS 1403696 | |
| Hall & Simpson, 1887 | Early Devonian Emsian | USA New York | WoRMS 1403697 | |
| Nikiforova, 1933 | Carboniferous Mississippian Tournaisian | Turkestan | WoRMS 1403698 | |
| Waschurova, 1964 | Early Devonian | Russia | WoRMS 1403699 | |
| Nekhoroshev, 1948 | Middle Devonian Eifelian | Russia | WoRMS 1403700 | |
| Hall, 1881 | Middle Devonian Eifelian | USA Indiana | WoRMS 1403701 | |
| Nekhoroshev, 1938 | Late Devonian | Russia? Altai | WoRMS 1403702 | |
| Nekhoroshev, 1926 | Devonian Givetian-Frasnian | Russia | WoRMS 1403703 | |
| Steininger, 1849 | Middle Devonian Eifelian | Germany | WoRMS 1403704 | |
| Hall, 1881 | Early Devonian Emsian | USA New York | WoRMS 1403705 | |
| Pocta, 1894 | Silurian Ludlow | Czech Republic | WoRMS 1403706 | |
| Krasnopeeva, 1935 | Devonian | Russia | WoRMS 1403707 | |
| (Prout, 1859) | Carboniferous Mississippian Visean | USA Illinois | WoRMS 1411458 | |
| McCoy, 1844 | Carboniferous Mississippian Tournaisian-Visean | Ireland | WoRMS 1403708 | |
| Nekhoroshev, 1956 | Carboniferous Mississippian Tournaisian-Visean | Russia? Altai | WoRMS 1414892 | |
| Reed, 1908 | Middle Devonian Eifelian | Burma | WoRMS 1403709 | |
| Waschurova, 1964 | Early Devonian | Russia | WoRMS 1403710 | |
| Waschurova, 1964 | Early Devonian | Tajikistan, Uzbekistan | WoRMS 1403711 | |
| McKinney & Kriz, 1986 | Early Devonian Pragian | Czech Republic | WoRMS 1403712 | |
| Yang, 1956 | Middle Devonian Givetian | China | WoRMS 1403713 | |
| Trizna, 1958 | Carboniferous Mississippian Tournaisian-Visean | Russia Kuznetsk Basin | WoRMS 1403714 | |
| McKinney & Kriz, 1986 | Early Devonian Pragian | Czech Republic | WoRMS 1403715 | |
| Branson, 1922 | Middle Devonian Givetian | USA Missouri | WoRMS 1403716 | |
| Plamenskaja, 1991 | Middle Devonian Eifelian | Czech Republic | WoRMS 1403717 | |
| Nekhoroshev, 1926 | Middle Devonian Givetian | Mongolia | WoRMS 1403718 | |
| Ulrich, 1890 | Carboniferous Mississippian Visean | USA Iowa | WoRMS 1403719 | |
| Phillips, 1841 | Mississippian | USA (Illinois) | WoRMS 1403720 | |
| Morozova, 1981 | Carboniferous Mississippian | Russia | WoRMS 1403721 | |
| Ulrich, 1890 | Carboniferous Mississippian Visean | USA Illinois, Iowa | WoRMS 1403722 | |
| (Prout, 1858) | Carboniferous Mississippian Visean | USA Illinois, Missouri | WoRMS 1411459 | |
| Troizkaya, 1968 | Middle Devonian Givetian | Russia | WoRMS 1403723 | |
| Gorjunova & Morozova, 1979 | Carboniferous Mississippian | Mongolia | WoRMS 1403724 | |
| Orlovskji, 1961 | Early Devonian Lochkovian | Russia | WoRMS 1403725 | |
| Waschurova, 1964 | Early Devonian | Russia | WoRMS 1403726 | |
| Balakin, 1972 | Carboniferous Mississippian Visean-Serpukhovian | Uzbekistan | WoRMS 1403727 | |
| Steininger, 1849 | Devonian | Germany | WoRMS 1403728 | |
| Pocta, 1894 | Early Devonian Pragian | Czech Republic | WoRMS 1403729 | |
| Ulrich, 1890 | Middle Devonian Givetian | USA | WoRMS 1403730 | |
| Suárez-Andrés & Ernst, 2014 | Devonian Emsian-Eifelian | Spain | WoRMS 1403731 | |
| Balakin, 1975 | Carboniferous Mississippian Viséan | Uzbekistan | WoRMS 1403732 | |
| Balakin, 1969 | Carboniferous Mississippian Visean | Uzbekistan | WoRMS 1403733 | |
| Foerste, 1887 | Silurian Llandovery | USA Ohio | WoRMS 1403734 | |
| Stewart, 1922 | Early Devonian Lochkovian | USA | WoRMS 1403735 | |
| Deiss, 1932 | Middle Devonian Givetian | USA Michigan | WoRMS 1403736 | |
| Ulrich, 1890 | Carboniferous Mississippian Visean | USA Illinois | WoRMS 1403737 |
This information is based upon various sources, but no personal knowledge. I am indebted to the late Alan Horowitz for his compilation, and to Dr. J. Pachut.
I would be grateful for corrections to, or critical reviews of this information. This is not a 'final' version (an impossible ideal), but a working document.