On this page, we record details of the work to be done on the ATLAS. Use the links on the right to select an area of interest.
- Groups with porting problems.
- Failing matrix representations
- Failing permutation representations
- Failing presentations
- Failing subgroup programs
- Problematic representations
Alternating groups
| Lead group | Group | Gens | Pres | Check | Find | Perm rep | Matrix rep | Conj cl | Maxes |
|---|---|---|---|---|---|---|---|---|---|
| A5 | A5 | 1 | 1 | 1 | 0 | 3 | 15 | 0/0 | 3/3 |
| 2.A5 | 1 | 1 | 0 | 0 | 2 | 24 | 0/0 | 0/0 | |
| S5 | 1 | 1 | 0 | 0 | 3 | 6 | 0/0 | 4/4 | |
| 2.S5 | 1 | 1 | 0 | 0 | 3 | 8 | 0/0 | 0/0 | |
| 2.S5i | 1 | 1 | 0 | 0 | 2 | 10 | 0/0 | 0/0 | |
| A6 | A6 | 1 | 1 | 1 | 0 | 5 | 23 | 7/7 | 5/5 |
| 2.A6 | 1 | 0 | 0 | 0 | 4 | 14 | 0/0 | 0/0 | |
| 3.A6 | 1 | 0 | 0 | 0 | 4 | 16 | 0/0 | 0/0 | |
| 6.A6 | 1 | 0 | 0 | 0 | 2 | 6 | 0/0 | 0/0 | |
| S6 | 1 | 1 | 0 | 0 | 5 | 0 | 12/11 | 6/6 | |
| 2.S6 | 1 | 0 | 0 | 0 | 3 | 0 | 0/0 | 0/0 | |
| 3.S6 | 1 | 0 | 0 | 0 | 4 | 0 | 0/0 | 0/0 | |
| 6.S6 | 1 | 0 | 0 | 0 | 1 | 0 | 0/0 | 0/0 | |
| PGL2(9) | 1 | 1 | 0 | 0 | 1 | 0 | 13/13 | 0/0 | |
| 2.PGL2(9) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| 3.PGL2(9) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| 6.PGL2(9) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| M10 | 1 | 1 | 0 | 0 | 1 | 0 | 8/8 | 0/0 | |
| 3.M10 | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| Aut(A6) | 1 | 1 | 0 | 0 | 1 | 0 | 13/13 | 0/0 | |
| 3.Aut(A6) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A7 | A7 | 1 | 0 | 1 | 0 | 1 | 34 | 0/0 | 2/5 |
| 2.A7 | 1 | 0 | 0 | 0 | 1 | 23 | 0/0 | 0/0 | |
| 3.A7 | 1 | 0 | 0 | 0 | 4 | 30 | 0/0 | 0/0 | |
| 6.A7 | 1 | 0 | 0 | 0 | 1 | 12 | 0/0 | 0/0 | |
| S7 | 1 | 0 | 0 | 0 | 5 | 20 | 0/0 | 5/5 | |
| 2.S7 | 1 | 0 | 0 | 0 | 0 | 7 | 0/0 | 0/0 | |
| 3.S7 | 1 | 0 | 0 | 0 | 2 | 14 | 0/0 | 0/0 | |
| 6.S7 | 1 | 0 | 0 | 0 | 0 | 2 | 0/0 | 0/0 | |
| 2.S7 (isoclinic) | 1 | 0 | 0 | 0 | 1 | 12 | 0/0 | 0/0 | |
| 6.S7 (isoclinic) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A8 | A8 | 1 | 0 | 1 | 0 | 3 | 22 | 0/0 | 0/0 |
| 2.A8 | 1 | 0 | 0 | 0 | 3 | 24 | 0/0 | 0/0 | |
| S8 | 1 | 0 | 0 | 0 | 1 | 5 | 0/0 | 0/0 | |
| 2.S8 | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| 2.S8 (isoclinic) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A9 | A9 | 1 | 0 | 1 | 0 | 8 | 62 | 0/0 | 0/0 |
| 2.A9 | 1 | 0 | 0 | 0 | 0 | 8 | 0/0 | 0/0 | |
| S9 | 1 | 0 | 0 | 0 | 1 | 0 | 0/0 | 0/0 | |
| A10 | A10 | 1 | 0 | 1 | 0 | 7 | 62 | 0/0 | 0/0 |
| 2.A10 | 1 | 0 | 0 | 0 | 0 | 5 | 0/0 | 0/0 | |
| S10 | 1 | 0 | 0 | 0 | 1 | 0 | 0/0 | 0/0 | |
| 2.S10 | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A11 | A11 | 1 | 0 | 1 | 0 | 7 | 48 | 0/0 | 0/0 |
| 2.A11 | 1 | 0 | 0 | 0 | 1 | 13 | 0/0 | 0/0 | |
| S11 | 1 | 0 | 0 | 0 | 1 | 1 | 0/0 | 0/0 | |
| 2.S11 | 1 | 0 | 0 | 0 | 0 | 4 | 0/0 | 0/0 | |
| A12 | A12 | 1 | 0 | 1 | 0 | 7 | 18 | 0/0 | 0/0 |
| 2.A12 | 1 | 0 | 0 | 0 | 0 | 5 | 0/0 | 0/0 | |
| S12 | 1 | 0 | 0 | 0 | 10 | 0 | 0/0 | 0/0 | |
| 2.S12 | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A13 | A13 | 1 | 0 | 1 | 0 | 2 | 8 | 0/0 | 0/0 |
| 2.A13 | 1 | 0 | 0 | 0 | 0 | 12 | 0/0 | 0/0 | |
| S13 | 1 | 0 | 0 | 0 | 2 | 0 | 0/0 | 0/0 | |
| 2.S13 | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A14 | A14 | 1 | 1 | 1 | 0 | 8 | 21 | 0/0 | 0/0 |
| 2.A14 | 1 | 1 | 0 | 0 | 0 | 7 | 0/0 | 0/0 | |
| S14 | 1 | 1 | 0 | 0 | 10 | 4 | 0/0 | 0/0 | |
| 2.S14 | 1 | 1 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2.S14 (isoclinic) | 1 | 1 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| A15 | A15 | 1 | 0 | 1 | 0 | 4 | 5 | 0/0 | 0/0 |
| S15 | 1 | 0 | 0 | 0 | 4 | 5 | 0/0 | 0/0 | |
| A16 | A16 | 1 | 0 | 1 | 0 | 4 | 5 | 0/0 | 0/0 |
| 2.A16 | 0 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| S16 | 1 | 0 | 0 | 0 | 4 | 5 | 0/0 | 0/0 | |
| 2.S16 | 0 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| A17 | A17 | 1 | 0 | 1 | 0 | 4 | 5 | 0/0 | 0/0 |
| S17 | 1 | 0 | 0 | 0 | 4 | 5 | 0/0 | 0/0 | |
| A18 | A18 | 1 | 0 | 1 | 0 | 4 | 3 | 0/0 | 0/0 |
| S18 | 1 | 0 | 0 | 0 | 4 | 3 | 0/0 | 0/0 | |
| A19 | A19 | 1 | 0 | 1 | 0 | 3 | 3 | 0/0 | 0/0 |
| S19 | 1 | 0 | 0 | 0 | 3 | 3 | 0/0 | 0/0 | |
| A20 | A20 | 1 | 0 | 1 | 0 | 2 | 3 | 0/0 | 0/0 |
| S20 | 1 | 0 | 0 | 0 | 2 | 3 | 0/0 | 0/0 | |
| A21 | A21 | 1 | 0 | 1 | 0 | 2 | 3 | 0/0 | 0/0 |
| S21 | 1 | 0 | 0 | 0 | 2 | 3 | 0/0 | 0/0 | |
| A22 | A22 | 1 | 0 | 1 | 0 | 2 | 3 | 0/0 | 0/0 |
| S22 | 1 | 0 | 0 | 0 | 2 | 3 | 0/0 | 0/0 | |
| A23 | A23 | 1 | 0 | 1 | 0 | 2 | 3 | 0/0 | 0/0 |
| S23 | 1 | 0 | 0 | 0 | 2 | 3 | 0/0 | 0/0 |