A translation of “classification of four-vectors of an 8-dimensional space”, by Antonyan, L. V., with an appendix by the translator

We give a translation of the entitled paper by Antonyan [Trudy Sem. Vektor. Tenzor. Anal. 20 (1981), pp. 144–161]. We include an appendix that shows how to produce normal forms for each nilpotent orbit.