Right Bol Loop 16.3.4.17 of order 16


0123456789101112131415
1032547698121310111514
2310675410121591481113
3201764512101481591311
4567012314151110131289
5476103215141312111098
6754231011139158141012
7645320113118149151210
8911131415101245263701
9813111514121054372610
1012151411139867514023
1113981012151423150467
1210141513118976405132
1311891210141532041576
1415101289111301627345
1514121098131110736254

Centre:   0   1   4   5

Centrum:   0   1   4   5

Nucleus:   0   1   4   5

Left Nucleus:   0   1   4   5   8   9   14   15

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   4

Associator Subloop:   0   4

4 Conjugacy Classes of size 1:

6 Conjugacy Classes of size 2:

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 (64, 128)


/ revised October, 2001