Right Bol Loop 16.3.4.7 of order 16


0123456789101112131415
1032547698121310111514
2310675410128149151113
3201764512109158141311
4567012314151110131289
5476103215141312111098
6754231011131481591012
7645320113111591481210
8911131415101254627310
9813111514121045736201
1012151411139876405132
1113981012151432041576
1210141513118967514023
1311891210141523150467
1415101289111310263754
1514121098131101372645

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