A086768 Number of conjugacy classes in the group GL(3,Z_n).

1, 6, 24, 60, 120, 144, 336, 536, 714, 720, 1320, 1440, 2184, 2016, 2880, 4528, 4896, 4284, 6840, 7200, 8064, 7920, 12144, 12864, 15540, 13104, 19908, 20160, 24360, 17280, 29760, 37216, 31680, 29376, 40320, 42840, 50616, 41040, 52416, 64320, 68880, 48384, 79464, 79200, 85680, 72864

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 02 2003

Keywords

• nonn
• mult

Crossrefs

Cf. A064767, A062354.

Programs

Magma

[Nclasses(GeneralLinearGroup(3, ResidueClassRing(n))) : n in [2..50]]; // Robin Visser, Aug 06 2023

Formula

For a prime p : a(p) = p*(p^2 - 1).

Extensions

More terms from Robin Visser, Aug 06 2023