Right Bol Loop 16.3.4.12 of order 16


0123456789101112131415
1032548967151211141310
2310685114121497101513
3201864125111379151014
4579101514213312108611
5497151013314211016812
6811121413151100732459
7954231150106131412118
8612111314100151923547
9745320101158141311126
1015141312117698054321
1112861031321451015794
1211680121431341510975
1314101597124115368102
1413151079115124286013
1510131411129876145230

Centre:   0   1   10   15

Centrum:   0   1   10   15

Nucleus:   0   1   10   15

Left Nucleus:   0   1   2   3   10   13   14   15

Middle Nucleus:   0   1   10   15

Right Nucleus:   0   1   10   15

1 Element of order 1:   0

3 Elements of order 2:   1   10   15

12 Elements of order 4:   2   3   4   5   6   7   8   9   11   12   13   14

Commutator Subloop:   0   10

Associator Subloop:   0   10

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