Genetic correlations of the univariate (i.e., original) SUDs and residual SUDs with 39 external correlates were estimated in Genomic SEM. External correlates were chosen based on their putative relevance to SUDs and included variables from the domains of cognitive traits, other forms of psychopathology, personality, and substance use. Residual correlations were estimated from the Externalizing model, in which loadings of SUDs on the common Externalizing factor and their genetic correlation with an external correlate were simultaneously estimated. Statistical significance was determined using a Bonferroni correction.