Computing non-isomorphic 2-factorizations of K11 of type E4F

  1. Generation -- we started with a fixed F-type 2-factor and generated all E-type 2-factors disjoint with it: we generated 4896 2-factors
  2. Then we computed all systems of four disjoint E-type 2-factors using the set generated in the previous step: we found 2400 disjoint systems
  3. The set obtained in the previous step was partitioned into classes of isomorphisms (buckets).
    We got 7 buckets
  4. From each bucket obtained in the previous step we chose a single representative, i.e. 7 systems
  5. For each system, using the same program for finding isomorphisms, the group of automorphisms was computed obtaining in the group sizes.