
Ed M. answered 03/09/16
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I don't know the precise scientific definition of star cluster and galaxy, but I believe the former term applies to much smaller agglomerations of stars than the latter, and also galaxies tend to have a lot more "stuff" in them (e.g., nebulae and random matter, including dark matter) than star clusters. Plus, and again I'm not entirely sure about this, I understand it that star clusters form simply from the mutual gravitational attraction of their stellar members, whereas galaxies tend to coalesce around supermassive black holes.
In other words, a galaxy may contain one or more star clusters, but not the other way around.