A003061 Number of non-Abelian (finite) groups with n conjugacy classes. (Formerly M1728)

0, 0, 1, 2, 7, 7, 11, 18, 24, 37, 34, 30

Offset

1,4

References

E. K. Annavaddar, Determination of the Finite Groups Having Eight Conjugacy Classes. Ph.D. Diss., Arizona State Univ., 1971.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..12.

J. Poland, Finite groups with a given number of conjugate classes<, Canad. J. Math. 20 1968 456-464.

J. Poland, Finite groups with a given number of conjugate classes, Canad. J. Math. 20 1968 456-464. (Annotated scanned copy)

Index entries for sequences related to groups

Formula

A073043(n) = a(n) + A000688(n).

Example

1,1,2,4,8,8,12,21,26,38,35,32 (A073043)
1,1,1,2,1,1,.1,.3,.2,.1,.1,.2 (subtract A000688)
-----------------------------
0,0,1,2,7,7,11,18,24,37,34,30 (A003061)

Crossrefs

Cf. A002319, A000688, A073043 (for total number), A006379.

Sequence in context: A332633 A316352 A114532 * A087385 A168278 A267499

Adjacent sequences: A003058 A003059 A003060 * A003062 A003063 A003064

Keyword

nonn,nice,more,hard

Author

N. J. A. Sloane

Extensions

a(8) corrected and a(9)-a(12) from Michael Somos, Aug 10 2010

Status

approved