Right Bol Loop 16.3.4.24 of order 16


0123456789101112131415
1250367491114108121513
2561074313129815141110
3014725610141315119128
4307612511101514981312
5672143012811913151014
6745230114151213101189
7436501215138121410911
8913101112141507543261
9131281014151112036574
1089111513121430472156
1110815149131245167023
1214151391110856214730
1312149815111023701645
1415111213108961325407
1511101412891374650312

Centre:   0   2   4   6

Centrum:   0   2   4   6

Nucleus:   0   2   4   6

Left Nucleus:   0   2   4   6   9   10   12   15

Middle Nucleus:   0   2   4   6

Right Nucleus:   0   2   4   6

1 Element of order 1:   0

3 Elements of order 2:   6   8   14

4 Elements of order 4:   2   4   11   13

8 Elements of order 8:   1   3   5   7   9   10   12   15

Commutator Subloop:   0   6

Associator Subloop:   0   6

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