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

Offset: 1

Author

Eric M. Schmidt, May 21 2013

Keywords

• nonn

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.

Crossrefs

Cf. A188161, A224790, A225928 - A225938.

Programs

Sage

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

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.