The symmetry point-group statistics for all combinatorially non-isomorphic simple 14- (339722) and 15-hedra (2406841 in total) are contributed in the paper for the first time. The most symmetrical shapes with 6 to 48 and 6 to 52 automorphism group orders (61 and 36, respectively) are drawn in Schlegel projections and characterized by facet symbols and symmetry point groups.