Right Bol Loop 24.3.6.2 of order 24


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12503471168910131712141516192021222318
25410311107689171613121415202122231819
30145286910117141215161713231819202122
43052198101176151416171312222318192021
54321010911768161517131214212223181920
67118910542103181923222120161514121317
71110689435210192018232221151412131716
86791011251034231822212019171615141213
98610117120345222321201918131716151412
10981176013452212220191823121317161514
11109768304521202119182322141213171615
12131714151621222019182312034571110986
13171612141522232120191825103411109867
14121315161720211918232201345267111098
15141216171319201823222130452186711109
16151417131218192322212043521098671110
17161513121423182221201954210310986711
18192023222112131415161771168910430125
19202118232213171214151611107689301254
20212219182317161312141510911768012543
21222320191816151713121498101176125430
22231821201915141617131286910117254301
23181922212014121516171367891011543012

Centre:   0   1   2   3   4   5

Centrum:   0   1   2   3   4   5

Nucleus:   0   1   2   3   4   5

Left Nucleus:   0   1   2   3   4   5   6   7   8   9   10   11

Middle Nucleus:   0   1   2   3   4   5

Right Nucleus:   0   1   2   3   4   5

1 Element of order 1:   0

3 Elements of order 2:   5   19   22

2 Elements of order 3:   2   4

4 Elements of order 4:   6   10   13   15

6 Elements of order 6:   1   3   18   20   21   23

8 Elements of order 12:   7   8   9   11   12   14   16   17

Commutator Subloop:   0   5

Associator Subloop:   0   5

6 Conjugacy Classes of size 1:

9 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:   48 (96, 192)


/ revised November, 2001