Autism screening questionnaires are sometimes used as a measure of "autism-associated traits" in samples drawn from the general population, even though such tools are primarily developed and designed for use in samples of children diagnosed with or being assessed for autism. Here, we explore the psychometric properties of the Social Communication Questionnaire (SCQ) current version reported at age 8 in a large population-based sample. Using data from the Norwegian Mother, Father and Child Cohort study (MoBa), we perform exploratory (N = 21,775) and confirmatory (N = 21,674) factor analyses on items and compare our results with previously suggested factor structure models of the SCQ. Furthermore, we test for measurement invariance across sex and registry-ascertained autism diagnostic status (N[subscript diagnosed] = 636). A 5-factor model provided best fit to the data in both children with and without autism diagnoses, though with some qualitative differences in what the factors represent across these groups. This model performed largely consistently across boys and girls in the general population. Taken together, the SCQ's measurement properties must be carefully considered when it is used in population-based samples and measurement invariance testing of other autism screening tools used in similar contexts is warranted.