A complete classification of the (154203)-configurations with at least three K5-graphs

The class of ((n+12)n−1(n+13)3)-configurations which contain at least n−2Kn-graphs coincides with the class of so called systems of triangle perspectives i.e. of configurations which contain a bundle of n−2 Pasch configurations with a common line. For n=5 the class consists of all binomial partial Steiner triple systems on 15 points, that contain at least three K5-graphs. In this case a complete classification of respective configurations is given and their automorphisms are determined.