A077191 Number of possible character tables for a group of order n.

1, 1, 1, 2, 1, 2, 1, 4, 2, 2, 1, 5, 1, 2, 1, 11, 1, 5, 1, 5, 2, 2, 1, 13, 2, 2, 4, 4, 1, 4, 1, 35, 1, 2, 1, 14, 1, 2, 2, 12, 1, 6, 1, 4, 2, 2, 1, 42, 2, 5, 1, 5, 1, 13, 2, 11, 2, 2, 1, 13, 1, 2, 4, 146, 1, 4, 1, 5, 1, 4, 1, 45, 1, 2, 3, 4, 1, 6, 1, 42, 12, 2

Offset

1,4

References

G. James and M. Liebeck, Representations and characters of groups, Cambridge University Press, 1993

Links

Eric M. Schmidt, Table of n, a(n) for n = 1..511

Example

There are 5 groups of order 8, but D8 and Q8 have the same character table, so a(8) = 4. - Eric M. Schmidt, Sep 08 2013

Prog

(GAP) A077191 := function(n) local chtables, irr, i; chtables := []; for i in [1..NrSmallGroups(n)] do irr := Irr(SmallGroup(n, i)); if ForAll(chtables, ct->TransformingPermutations(ct, irr) = fail) then Add(chtables, irr); fi; od; return Length(chtables); end; # Eric M. Schmidt, Sep 08 2013

Crossrefs

Sequence in context: A319004 A234541 A066389 * A317545 A319002 A050363

Adjacent sequences: A077188 A077189 A077190 * A077192 A077193 A077194

Keyword

nonn,nice

Author

Paul Boddington, Oct 22 2003

Extensions

More terms from Eric M. Schmidt, Sep 08 2013

Status

approved