| Representation genus | Representations available | Test results | Miscellaneous information | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Group | Dim | Ind | File | Char | Ring | Checker | CCL | Sparsity | Max | Size (Kb) | Comments |
| L3(5) | 30 | + | 30 | χ2 | Z | |
|
93% | 1 | 4.2 | perm rep on 31 pts |
| L3(5) | 31 | + | 31(a) | χ3 | Z | |
|
96% | 1 | 4.4 | perm rep on 62 pts |
| L3(5) | 31 | o | 31(b) | χ4 | Z(i) | |
|
96% | 4.3 | complex conjugate of χ5 | |
| 31(c) | χ5 | Z(i) | |
|
96% | 4.3 | perm reps on 124 pts | ||||
| L3(5) | 96 | o | No representations available | ||||||||
| L3(5) | 124 | + | 124(a) | χ16 | Z | |
|
98% | 1 | 63.5 | perm reps on 155 pts |
| 124(b) | χ17 | Z | |
|
98% | 1 | 63.5 | perm reps on 310 pts (a) | |||
| L3(5) | 124 | o | 124(c) | χ18 | Z(i) | |
|
98% | 63.5 | complex conjugate of χ19 | |
| 124(d) | χ19 | Z(i) | |
|
98% | 63.5 | perm rep on 620a pts | ||||
| 124(e) | χ20 | Z(i) | |
|
98% | 63.6 | induced from 4-dim rep of 5^2:GL(2,5) (faithful on GL(2,5)) | ||||
| 124(f) | χ21 | Z(i) | |
|
98% | 63.6 | complex conjugate of χ20 | ||||
| 124(g) | χ22 | C | |
|
98% | 64.6 | complex conjugate of χ23 | ||||
| 124(h) | χ23 | C | |
|
98% | 64.6 | induced from 4-dim rep of 5^2:GL(2,5) (faithful on GL(2,5)) | ||||
| 124(i) | χ24 | C | |
|
98% | 64.6 | complex conjugate of χ25 | ||||
| 124(j) | χ25 | C | |
|
98% | 64.6 | Galois conjugate of χ22 | ||||
| L3(5) | 125 | + | 125 | χ26 | Z | |
|
96% | 1 | 64.8 | perm rep on 186 pts |
| L3(5) | 155 | + | 155(a) | χ27 | Z | |
|
99% | 1 | 99.0 | perm reps on 310 pts (b) |
| L3(5) | 155 | o | 155(b) | χ28 | Z(i) | |
|
98% | 100.1 | complex conjugate of χ29 | |
| 155(c) | χ29 | Z(i) | |
|
98% | 100.1 | induced from 5-dim rep of 5^2:GL(2,5) | ||||
| L3(5) | 186 | + | 186 | χ30 | Z | |
|
99% | 1 | 142.2 | perm rep on 620b pts |
Element xy is in class 20A and xy3 is in class 24B.
Last generated on Sat Sep 24 18:53:01 2005
