For each n≤6, we characterize all the groups which can occur as either the orientation preserving topological symmetry group or the topological symmetry group of some embedding of Kn in S3.
@article{arxiv.1212.5964,
title = {Topological Symmetry Groups for Small Complete Graphs},
author = {Dwayne Chambers and Erica Flapan},
journal= {arXiv preprint arXiv:1212.5964},
year = {2014}
}