Abstract :
We introduce a database containing the character tables of the endomorphism rings of the multiplicity-free permutation modules of the sporadic simple groups, their automorphism groups, their Schur covers, and their bicyclic extensions. We describe the techniques used to compile the data, and present a couple of applications to orbital graphs.
Keywords :
Multiplicity-free permutation representations , Endomorphism rings , Character tables , Fitting correspondence , Ramanujan graphs , Distance-transitive graphs , Collapsed adjacency matrices , Orbit counting matrices , Orbit enumeration , GAP data library , MeatAxe , Direct condensation techniques , Sporadic simple groups , Orbital graphs
