Right Bol Loop 16.7.4.15 of order 16


0123456789101112131415
1039131052678151441211
2341161201311514875910
3213450115141112109678
4136503287109121111514
5610341314151211910287
6501221141131415783109
7911158141240131621035
8101214715110411326953
9715131011411124053826
1081419131512110435762
1115861227109530414131
1214721168910354015113
1345101936287141501112
1412971581035261311104
1511108147953621131240

Centre:   0   4   14   15

Centrum:   0   4   14   15

Nucleus:   0   4   14   15

Left Nucleus:   0   3   4   5   7   8   14   15

Middle Nucleus:   0   4   14   15

Right Nucleus:   0   4   14   15

1 Element of order 1:   0

7 Elements of order 2:   1   4   11   12   13   14   15

8 Elements of order 4:   2   3   5   6   7   8   9   10

Commutator Subloop:   0   14

Associator Subloop:   0   14

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