Right Bol Loop 24.7.6.1 of order 24

0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23
1	2	5	0	3	4	9	10	11	7	8	6	13	17	12	14	15	16	21	23	22	20	19	18
2	5	4	1	0	3	7	8	6	10	11	9	17	16	13	12	14	15	20	18	19	22	23	21
3	0	1	4	5	2	11	9	10	6	7	8	14	12	15	16	17	13	23	22	21	18	20	19
4	3	0	5	2	1	8	6	7	11	9	10	15	14	16	17	13	12	19	20	18	23	21	22
5	4	3	2	1	0	10	11	9	8	6	7	16	15	17	13	12	14	22	21	23	19	18	20
6	9	7	11	8	10	0	2	4	1	5	3	20	22	21	18	23	19	15	17	12	14	13	16
7	10	8	9	6	11	2	4	0	5	3	1	19	23	22	20	21	18	12	15	17	13	16	14
8	11	6	10	7	9	4	0	2	3	1	5	18	21	23	19	22	20	17	12	15	16	14	13
9	7	10	6	11	8	1	5	3	2	4	0	22	19	20	21	18	23	14	16	13	12	17	15
10	8	11	7	9	6	5	3	1	4	0	2	23	18	19	22	20	21	13	14	16	17	15	12
11	6	9	8	10	7	3	1	5	0	2	4	21	20	18	23	19	22	16	13	14	15	12	17
12	18	17	19	15	20	16	14	13	22	23	21	0	1	3	4	5	2	8	7	6	11	9	10
13	21	16	23	14	22	15	12	17	19	18	20	1	2	0	3	4	5	11	10	9	6	7	8
14	23	13	22	16	21	17	15	12	20	19	18	3	0	4	5	2	1	10	9	11	8	6	7
15	19	12	20	17	18	13	16	14	21	22	23	4	3	5	2	1	0	7	6	8	10	11	9
16	22	14	21	13	23	12	17	15	18	20	19	5	4	2	1	0	3	9	11	10	7	8	6
17	20	15	18	12	19	14	13	16	23	21	22	2	5	1	0	3	4	6	8	7	9	10	11
18	17	20	12	19	15	22	23	21	14	13	16	8	11	10	7	9	6	2	0	4	5	3	1
19	12	18	15	20	17	21	22	23	16	14	13	7	10	9	6	11	8	0	4	2	1	5	3
20	15	19	17	18	12	23	21	22	13	16	14	6	9	11	8	10	7	4	2	0	3	1	5
21	16	22	13	23	14	19	18	20	12	17	15	11	6	8	10	7	9	5	1	3	4	0	2
22	14	23	16	21	13	18	20	19	17	15	12	9	7	6	11	8	10	3	5	1	0	2	4
23	13	21	14	22	16	20	19	18	15	12	17	10	8	7	9	6	11	1	3	5	2	4	0

Centre: 0 2 4 9 10 11

Centrum: 0 2 4 9 10 11

Nucleus: 0 2 4 9 10 11

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

Middle Nucleus: 0 2 4 9 10 11

Right Nucleus: 0 2 4 9 10 11

1 Element of order 1: 0

7 Elements of order 2: 5 6 10 12 16 20 23

2 Elements of order 3: 2 4

14 Elements of order 6: 1 3 7 8 9 11 13 14 15 17 18 19 21 22

Commutator Subloop: 0 10

Associator Subloop: 0 10

6 Conjugacy Classes of size 1:

0
2
4
9
10
11

9 Conjugacy Classes of size 2:

1 8
3 7
5 6
12 23
13 18
14 19
15 22
16 20
17 21

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