Right Bol Loop 16.3.4.16 of order 16


0123456789101112131415
1032547698121310111514
2310675410121481591113
3201764512101591481311
4567012314151110131289
5476103215141312111098
6754231011138149151012
7645320113119158141210
8911131415101245372601
9813111514121054263710
1012151411139867514023
1113981012151423150467
1210141513118976405132
1311891210141532041576
1415101289111301736245
1514121098131110627354

Centre:   0   1   4   5

Centrum:   0   1   4   5

Nucleus:   0   1   4   5

Left Nucleus:   0   1   4   5

Middle Nucleus:   0   1   4   5

Right Nucleus:   0   1   4   5

1 Element of order 1:   0

3 Elements of order 2:   1   4   5

12 Elements of order 4:   2   3   6   7   8   9   10   11   12   13   14   15

Commutator Subloop:   0   1   4   5

Associator Subloop:   0   1   4   5

4 Conjugacy Classes of size 1:

3 Conjugacy Classes of size 4:

Automorphic Inverse Property:   HOLDS

Al Property:   HOLDS (i.e. every left inner mapping La,b is an automorphism)

Ar Property:   HOLDS (i.e. every right inner mapping Ra,b is an automorphism)

Right (Left, Full) Mult Group Orders:   32 (256, 1024)


/ revised October, 2001