Right Bol Loop 16.15.4.1 of order 16


0123456789101112131415
1037621554141213101198
2401091141213515378611
3810131291011762541514
4211130141091678153512
5610121401119287315413
6514111901312431587210
7151211110130143452689
8313910111214015546271
9141582634501312111017
1012528743151301419116
1113467851531214091102
1210751538261119014134
1311843157621091140125
1496155428711110131203
1579141213111108264530

Centre:   0   12   13   14

Centrum:   0   12   13   14

Nucleus:   0   12   13   14

Left Nucleus:   0   12   13   14

Middle Nucleus:   0   12   13   14

Right Nucleus:   0   12   13   14

1 Element of order 1:   0

15 Elements of order 2:   1   2   3   4   5   6   7   8   9   10   11   12   13   14   15

Commutator Subloop:   0   12   13   14

Associator Subloop:   0   12   13   14

4 Conjugacy Classes of size 1:

3 Conjugacy Classes of size 4:

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 (256, 1024)


/ revised October, 2001