Having a large numbHaving a large number of interest groups representing a particular interest, rather than a small number, will probably make them more powerful. indicates a more centralized government structure. does not necessarily decrease or increase their relative strength. indicates that many people have similar concerns, thus raising the groups' status.er of interest groups representing a particular interest, rather than a small number, will probably make them more powerful. indicates a more centralized government structure. does not necessarily decrease or increase their relative strength. indicates that many people have similar concerns, thus raising the groups' status