Ichneumon quadrum Fabricius, 1787:270, sex not indicated. Fabricius, 1787Fabricius, J.C. 1787. Mantissa insectorum sistens species nuper detectas adiectis characteribus genericis, differentiis specificis, emendationibus, observationibus. Tome I. Proft, Hafniae [=Copenhagen]. 348 pp.:270,Halae (leg. Hybner). - As Cheiropachus quadrum: - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198. (distribution).
Pteromalus bimaculatus Swederus, 1795:222 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Cleonymus maculipennis Curtis, 1827:194 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Pteromalus bicaliginosus Ratzeburg, 1844:190 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Pteromalus binaevius Ratzeburg, 1844:190 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Pteromalus Fraxini Ratzeburg, 1844:191 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Pteromalus binimbatus Ratzeburg, 1844:191 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Pteromalus binubeculatus Ratzeburg, 1844:191 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).
Pachychirus intermedius Förster, 1856:70 - Krombein et al., 1979Krombein, K.V., P.D. Hurd, D.R. Smith & B.D. Burks 1979. Catalog of Hymenoptera in America North of Mexico. Volume 1. Symphyta and Apocrita (Parasitica). Smithsonian Institution Press, Washington D.C. 1-1198.:800 ( listed as synonym of Cheiropachus quadrum (Fabricius, 1787)).