I. armatus (Schmidt, 1916)
I. bicornis (Reinhardt, 1840)
I. bicornis beringianus Schmidt, 1927
I. bicornis derjugini Soldatov in Knipowitsch, 1926
I. bicornis spitzbergensis Schmidt, 1927
I. canaliculatus Gilbert, 1896
I. cataphractus (Pavlenko, 1910)
I. ecornis Tsutsui & Yabe, 1996
I. euryops Bean, 1890
I. furciger Malm, 1865
I. gilberti Taranetz, 1936
I. hamatus Krøyer, 1845
I. hypselopterus Fukuzawa et al., 2022
I. karaensis Soldatov, 1923
I. mandibularis Yabe, 1983
I. mororanis (Jordan & Seale, 1906)
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I. ochotensis Schmidt, 1927
I. omodakae Tanaka, 1915
I. perminovi Taranetz, 1936
I. rastrinoides Taranetz, 1936
I. scutiger Bean, 1890
I. sekii Tsuruoka, Munehara & Yabe, 2006
I. spatula Gilbert & Burke, 1912
I. spatula bispinis Andriashev, 1937
I. spiniger Gilbert, 1896
I. spiniger cataphractus (Pavlenko, 1910)
I. spiniger intermedius Lindberg & Andriashev, 1938
I. stenosomus Andriashev, 1937
I. toyamensis (Matsubara & Iwai, 1951)
I. uncinalis Gilbert & Burke, 1912
I. uncinalis crassus Andriashev, 1937
I. uncinalis stenosomus Andriashev, 1937
I. uncinalis uncinalis Gilbert & Burke, 1912
I. vicinalis Gilbert, 1896
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