Group 15.2.15.0 of order 15


01234567891011121314
12045310897116131412
20153411978610141213
34561011141201213897
45310116122011314978
53411610130121412789
61011141213745389201
78912041213145311610
89720151314123461011
97801231412134510116
10116121314853497012
11610131412934578120
12131489721161001345
13141297806101112453
14121378911011620534

Centre:   0   1   2   3   4   5   6   7   8   9   10   11   12   13   14

Centrum:   0   1   2   3   4   5   6   7   8   9   10   11   12   13   14

Nucleus:   0   1   2   3   4   5   6   7   8   9   10   11   12   13   14

Left Nucleus:   0   1   2   3   4   5   6   7   8   9   10   11   12   13   14

Middle Nucleus:   0   1   2   3   4   5   6   7   8   9   10   11   12   13   14

Right Nucleus:   0   1   2   3   4   5   6   7   8   9   10   11   12   13   14

1 Element of order 1:   0

2 Elements of order 3:   1   2

4 Elements of order 5:   4   8   11   14

8 Elements of order 15:   3   5   6   7   9   10   12   13

Commutator Subloop:   0

Associator Subloop:   0

15 Conjugacy Classes of size 1:

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:   15 (15, 15)


/ revised November, 2001