All centralising monoids with binary operations as witnesses on the set {0,1,2,3}.

This dataset contains all 33684 centralising monoids on the set \(\{0,1,2,3\}\) that can be witnessed by sets of binary operations. Among them the inclusion maximal proper monoids are shown. Classifications of various subsets of these monoids up to conjugacy are presented, as well. A detailed description of the files in the dataset can be obtained from the file binary_centralising_monoids.pdf (the code source for this file is given in binary_centralising_monoids.tex).