A225929 - OEIS

A225929

Number of conjugacy classes in Chevalley group G_2(q) as q runs through the prime powers.

16, 23, 32, 44, 72, 88, 107, 152, 204, 296, 332, 408, 584, 684, 791, 908, 1032, 1096, 1452, 1772, 1944, 2312, 2508, 2924, 3608, 3852, 4232, 4632, 5192, 5484, 6408, 6731, 7064, 8108, 9612, 10412, 10824, 11672, 12108, 13004, 14892, 15884, 16392, 16648, 17432

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 1..1000

Frank Luebeck, Numbers of Conjugacy Classes in Finite Groups of Lie Type.

FORMULA

Let q be the n-th prime power. Then a(n) = q^2 + 2q + c, where c = 9 if q == 1, 5 (mod 6) and c = 8 otherwise.

PROG

(Sage) def A225929(q) : return q^2 + 2*q + (9 if q%6 in [1, 5] else 8)

CROSSREFS

Cf. A188161, A224790, A225928 - A225938.