Right Bol Loop 16.7.4.8 of order 16


0123456789101112131415
1032812764109155141311
2451211710151413698310
3812515601111314710429
4211155913141201107386
5127690321048141151113
6101013351214151128974
7901142125131115341068
8315111210141351096247
9714130415111512826103
1061314181115012543792
1115910714846230131251
1256710123984130111514
1314843159102671211015
1413482111093765151012
1511109613487321145120

Centre:   0   5   13   15

Centrum:   0   5   13   15

Nucleus:   0   5   13   15

Left Nucleus:   0   1   5   11   12   13   14   15

Middle Nucleus:   0   5   13   15

Right Nucleus:   0   5   13   15

1 Element of order 1:   0

7 Elements of order 2:   1   5   11   12   13   14   15

8 Elements of order 4:   2   3   4   6   7   8   9   10

Commutator Subloop:   0   13

Associator Subloop:   0   13

4 Conjugacy Classes of size 1:

6 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:   32 (64, 128)


/ revised October, 2001