Characterization of high-index facets in noble metal nanocrystals for plasmonics and catalysis has been a challenge due to their small sizes and complex shapes. Here, we present an approach to determine the high-index facets of nanocrystals using streaked Bragg reflections in coherent electron diffraction patterns, and provide a comparison of high-index facets on unusual nanostructures such as trisoctahedra. We report new high-index facets in trisoctahedra and previous unappreciated diversity in facet sharpness.