- †T. ovata Conrad, 1843
- †T. arctura Hall, 1847
- †T. angusticollis Billings, 1859
- †T. clavifrons Billings, 1859
- †T. conifrons Billings, 1859
- †T. conradi Billings, 1859
- †T. vindex Billings, 1865
- †T. punctata Raymond, 1905
- †T. latiaxiata Raymond & Narraway, 1908
- †T. fieldi Raymond, 1925
- †T. marginalis Raymond, 1925
- †T. viator Raymond, 1925
- †T. groenlandica Troedsson, 1928
- †T. depressicapitata Bradley, 1930
- †T. borealis Teichert, 1937
- †T. baffinlandica Roy, 1941
- †T. lacerta Whittington, 1954
- †T. longispina Shaw, 1968
- †T. raymondi Shaw, 1968
- †T. inflata Shaw, 1968
- †T. adunca Chatterton & Ludvigsen, 1976
- †T. mackenziensis Chatterton & Ludvigsen, 1976
- †T. nunavutica Hammann, 1992
- †T. zoppii Hammann & Leone, 1997
- †T. anusacerbissima Amati & Westrop, 2004
- †T. jaanussoni Amati & Westrop, 2004
- †T. mobydicki Amati & Westrop, 2004
- †T. laurentiana Amati & Westrop, 2004
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