Right Bol Loop 16.7.4.6 of order 16


0123456789101112131415
1031591142681351410127
2451410601111383915712
3611504112131092871514
4210531113121415678910
5116430287151411312109
6301014251111274159813
7914121381050161543211
8151013127140511293461
9713111151210145382640
1013726148159401211153
1154915136271201014138
1214987131543211100516
1310157812934611450112
1412862107915351311104
1581211191314100476235

Centre:   0   5   12   13

Centrum:   0   5   12   13

Nucleus:   0   5   12   13

Left Nucleus:   0   5   12   13

Middle Nucleus:   0   5   12   13

Right Nucleus:   0   5   12   13

1 Element of order 1:   0

7 Elements of order 2:   1   5   10   11   12   13   14

8 Elements of order 4:   2   3   4   6   7   8   9   15

Commutator Subloop:   0   5   12   13

Associator Subloop:   0   5   12   13

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