Right Bol Loop 8.3.2.0 of order 8


01234567
10325476
23017654
32106745
45671023
54760132
67452310
76543201

Centre:   0   1

Centrum:   0   1

Nucleus:   0   1

Left Nucleus:   0   1   2   3

Middle Nucleus:   0   1

Right Nucleus:   0   1

1 Element of order 1:   0

3 Elements of order 2:   1   2   3

4 Elements of order 4:   4   5   6   7

Commutator Subloop:   0   1

Associator Subloop:   0   1

2 Conjugacy Classes of size 1:

3 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:   16 (32, 64)


/ revised November, 2001