Right Bol Loop 27.14.3.1 of order 27

0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26
1	2	0	4	6	12	3	11	9	10	8	16	17	14	15	13	7	5	19	20	18	22	23	21	25	26	24
2	0	1	6	3	17	4	16	10	8	9	7	5	15	13	14	11	12	20	18	19	23	21	22	26	24	25
3	5	7	8	19	9	15	10	0	1	2	18	20	25	26	24	14	13	21	22	23	11	4	12	6	17	16
4	12	11	9	20	10	13	8	1	2	0	19	18	26	24	25	15	14	22	23	21	16	6	17	3	5	7
5	7	3	14	10	15	18	13	26	24	25	9	8	22	23	21	20	19	1	2	0	4	12	11	17	16	6
6	17	16	10	18	8	14	9	2	0	1	20	19	24	25	26	13	15	23	21	22	7	3	5	4	12	11
7	3	5	20	13	18	9	19	23	21	22	15	14	2	0	1	8	10	24	25	26	12	11	4	16	6	17
8	14	20	0	1	26	2	23	3	16	12	21	24	17	4	7	22	25	11	5	6	18	9	15	10	13	19
9	15	18	1	2	24	0	21	4	7	17	22	25	5	6	11	23	26	16	12	3	19	10	13	8	14	20
10	13	19	2	0	25	1	22	6	11	5	23	26	12	3	16	21	24	7	17	4	20	8	14	9	15	18
11	4	12	18	14	19	10	20	21	22	23	13	15	0	1	2	9	8	25	26	24	17	16	6	7	3	5
12	11	4	15	8	13	19	14	24	25	26	10	9	23	21	22	18	20	2	0	1	6	17	16	5	7	3
13	19	10	25	26	22	24	2	17	4	7	0	23	11	5	6	1	21	3	16	12	8	14	20	15	18	9
14	20	8	26	24	23	25	0	5	6	11	1	21	16	12	3	2	22	4	7	17	9	15	18	13	19	10
15	18	9	24	25	21	26	1	12	3	16	2	22	7	17	4	0	23	6	11	5	10	13	19	14	20	8
16	6	17	19	15	20	8	18	22	23	21	14	13	1	2	0	10	9	26	24	25	5	7	3	11	4	12
17	16	6	13	9	14	20	15	25	26	24	8	10	21	22	23	19	18	0	1	2	3	5	7	12	11	4
18	9	15	21	22	1	23	24	11	5	6	25	2	3	16	12	26	0	17	4	7	13	19	10	20	8	14
19	10	13	22	23	2	21	25	16	12	3	26	0	4	7	17	24	1	5	6	11	14	20	8	18	9	15
20	8	14	23	21	0	22	26	7	17	4	24	1	6	11	5	25	2	12	3	16	15	18	9	19	10	13
21	22	23	11	16	4	7	12	18	19	20	17	6	8	9	10	5	3	13	14	15	25	26	24	2	0	1
22	23	21	16	7	6	11	17	19	20	18	5	3	9	10	8	12	4	14	15	13	26	24	25	0	1	2
23	21	22	7	11	3	16	5	20	18	19	12	4	10	8	9	17	6	15	13	14	24	25	26	1	2	0
24	25	26	12	17	11	5	4	15	13	14	6	16	20	18	19	3	7	10	8	9	2	0	1	22	23	21
25	26	24	17	5	16	12	6	13	14	15	3	7	18	19	20	4	11	8	9	10	0	1	2	23	21	22
26	24	25	5	12	7	17	3	14	15	13	4	11	19	20	18	6	16	9	10	8	1	2	0	21	22	23

Centre: 0 21 25

Centrum: 0 21 25

Nucleus: 0 21 25

Left Nucleus: 0 1 2 21 22 23 24 25 26

Middle Nucleus: 0 21 25

Right Nucleus: 0 21 25

1 Element of order 1: 0

14 Elements of order 3: 1 2 3 8 11 13 17 18 21 22 23 24 25 26

12 Elements of order 9: 4 5 6 7 9 10 12 14 15 16 19 20

Commutator Subloop: 0 21 25

Associator Subloop: 0 21 25

3 Conjugacy Classes of size 1:

0
21
25

8 Conjugacy Classes of size 3:

1 22 26
2 23 24
3 11 17
4 5 16
6 7 12
8 13 18
9 14 19
10 15 20

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: 81 (243, 2187)

/ revised October, 2001