Geodesic
Algorithmic enumeration of regular maps
Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 211-222.

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Given a finite group G, we describe an algorithm that enumerates the regular maps having G as rotational subgroup, using the knowledge of its table of ordinary characters and its subgroup lattice. To show the efficiency of our algorithm, we use it to compute that, up to isomorphism, there are 796,772 regular maps whose rotational subgroup is the sporadic simple group of O'Nan and Sims.
DOI : 10.26493/1855-3974.544.1b4
Keywords: Regular map, O'Nan sporadic simple group, subgroup lattice, character table 
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Thomas Connor; Dimitri Leemans. Algorithmic enumeration of regular maps. Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 211-222. doi : 10.26493/1855-3974.544.1b4. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.544.1b4/

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