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A290138
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Number of maximal subgroups of the symmetric group S_n.
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2
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0, 1, 4, 8, 22, 53, 184, 353, 1376, 3977, 363904, 396498, 39920896, 40060127, 1543910, 4687418, 1307674433536, 1307902407753, 355687428358144, 355691118382364, 162615882312376736, 1267150213999727, 51090942171713634304, 51090956256672365547
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OFFSET
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1,3
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COMMENTS
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a(n) + 1, n > 1, is the number of maximal subsemigroups of each of the following monoids of degree n: the full transformation monoid, the symmetric inverse monoid, the dual symmetric inverse monoid, the uniform block bijection monoid, and the Brauer monoid.
a(n) + 2 is the number of maximal subsemigroups of the partial transformation monoid of degree n.
a(n) + 3, n > 1, is the number of maximal subsemigroups of the partial Brauer monoid of degree n.
a(n) + 4, n > 1, is the number of maximal subsemigroups of the partition monoid of degree n.
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LINKS
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PROG
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(GAP) Sum(List(ConjugacyClassesMaximalSubgroups(SymmetricGroup(n)), Size));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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