Right Bol Loop 16.3.4.25 of order 16


0123456789101112131415
1250367491114108121513
2561074313129815141110
3014725610141315119128
4307612511101514981312
5672143012811913151014
6745230114151213101189
7436501215138121410911
8913101112141523701645
9131281014151156214730
1089111513121412036574
1110815149131207543261
1214151391110874650312
1312149815111061325407
1415111213108945167023
1511101412891330472156

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   10   12

4 Elements of order 4:   2   4   9   15

8 Elements of order 8:   1   3   5   7   8   11   13   14

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