Right Bol Loop 16.11.4.0 of order 16


0123456789101112131415
1036274141112138910155
2409811311514371561012
3611112131081572145409
4210121101971565143138
5791301181026154314121
6313891001214541572111
7511101812043142615913
8111415725301312110964
9125715614413011101823
1013426153512110981714
1187145415211090131236
1291551437610181301142
1310643142159811211057
1415801312916273451110
1514121109111334562780

Centre:   0   11   12   13

Centrum:   0   11   12   13

Nucleus:   0   11   12   13

Left Nucleus:   0   11   12   13

Middle Nucleus:   0   11   12   13

Right Nucleus:   0   11   12   13

1 Element of order 1:   0

11 Elements of order 2:   1   2   6   7   8   9   10   11   12   13   15

4 Elements of order 4:   3   4   5   14

Commutator Subloop:   0   11   12   13

Associator Subloop:   0   11   12   13

4 Conjugacy Classes of size 1:

2 Conjugacy Classes of size 2:

2 Conjugacy Classes of size 4:

Automorphic Inverse Property:   FAILS.   (1-1)(3-1) neq (1*3)-1

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 (256, 1024)


/ revised October, 2001