The Fiedler graph of a simplex is described in the book "Matrices and graphs in geometry" by Miroslav Fiedler. There is a method described to associate to a distance / Menger matrix, a graph which reflects some of the geometric properties of the points. In this video we compute the distance between two elements of a finite group with the Kendall-Tau kernel and then we plot its Fiedler graph. Some groups have the same graph but one recognizes also some symmetries of the group reflected in the graph.