Right Bol Loop 24.3.6.1 of order 24

Centre:   0   1   2   3   4   5

Centrum:   0   1   2   3   4   5

Nucleus:   0   1   2   3   4   5

Left Nucleus:   0   1   2   3   4   5   6   7   8   9   10   11

Middle Nucleus:   0   1   2   3   4   5

Right Nucleus:   0   1   2   3   4   5

1 Element of order 1:   0

3 Elements of order 2:   5   8   11

2 Elements of order 3:   2   4

4 Elements of order 4:   13   15   18   21

6 Elements of order 6:   1   3   6   7   9   10

8 Elements of order 12:   12   14   16   17   19   20   22   23

Commutator Subloop:   0   5

Associator Subloop:   0   5

6 Conjugacy Classes of size 1:

•   0
•   1
•   2
•   3
•   4
•   5

9 Conjugacy Classes of size 2:

•   6   10
•   7   9
•   8   11
•   12   16
•   13   15
•   14   17
•   18   21
•   19   22
•   20   23

Automorphic Inverse Property:   HOLDS

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

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

Right (Left, Full) Mult Group Orders:   48 (96, 192)

/ revised November, 2001