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

Author

Paul Boddington, Oct 22 2003

Keywords

• nonn
• nice

Examples

			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
		

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

Programs

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

Extensions

More terms from Eric M. Schmidt, Sep 08 2013