The purpose of this paper is to empirically explore two dimensions of the firm hierarchy of international market-specific linkages, using data on Swedish manufacturing firms from 1997 to 2007. First, we investigate the productivity ordering with respect to three international linkages; importing, exporting and investing abroad. Second, we explore whether differences in the productivity ordering across industries correlates with industry and country characteristics. Our findings support a general productivity hierarchy from importing to exporting and from exporting to investing abroad, as well as from a low to a high number of linkages (measuring the complexity of firms' international linkages). However, an industry-by-industry examination shows that the hierarchical structure is only generally upheld when it comes to the number of international linkages, while the ordering of import, export and investment linkages does not exhibit the same regularity across industries. Extending the analysis, we find that the lack of a hierarchical structure is more likely in industries focusing on larger and less distant markets.