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
Exceptional groups of Lie type
| Lead group | Group | Gens | Pres | Check | Find | Perm rep | Matrix rep | Conj cl | Maxes |
|---|---|---|---|---|---|---|---|---|---|
| G2(2)' | U3(3) | 1 | 1 | 0 | 0 | 4 | 34 | 0/0 | 0/0 |
| U3(3):2 | 1 | 1 | 0 | 0 | 1 | 8 | 0/0 | 0/0 | |
| G2(3) | G2(3) | 1 | 1 | 0 | 0 | 0 | 25 | 23/23 | 10/10 |
| 3.G2(3) | 1 | 0 | 0 | 0 | 1 | 3 | 0/0 | 0/0 | |
| G2(3):2 | 1 | 1 | 0 | 0 | 1 | 6 | 28/28 | 0/0 | |
| 3.G2(3):2 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| G2(4) | G2(4) | 1 | 0 | 0 | 0 | 6 | 27 | 32/32 | 8/8 |
| 2.G2(4) | 1 | 0 | 0 | 0 | 0 | 6 | 0/0 | 0/0 | |
| G2(4):2 | 1 | 0 | 0 | 0 | 0 | 11 | 40/40 | 1/9 | |
| 2.G2(4).2 | 1 | 0 | 0 | 0 | 0 | 4 | 0/0 | 0/0 | |
| 2.G2(4).2 (isoclinic) | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| G2(5) | G2(5) | 1 | 0 | 0 | 0 | 4 | 18 | 44/44 | 7/7 |
| F4(2) | F4(2) | 1 | 0 | 0 | 0 | 1 | 1 | 0/0 | 1/1 |
| 2.F4(2) | 1 | 0 | 0 | 0 | 1 | 5 | 0/0 | 0/0 | |
| F4(2):2 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2.F4(2).2 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2.F4(2).2 (isoclinic) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| 2.F4(2).4 | 0 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| E6(2) | E6(2):2 | 0 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 |
| E6(2) | 1 | 0 | 0 | 0 | 0 | 3 | 0/0 | 0/0 | |
| E6(4) | E6(4) | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 |
| 3.E6(4) | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 3.E6(4).2g | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| E7(2) | E7(2) | 1 | 0 | 0 | 0 | 0 | 2 | 0/0 | 0/0 |
| E7(4) | E7(4) | 1 | 0 | 0 | 0 | 0 | 3 | 0/0 | 0/0 |
| E8(2) | E8(2) | 2 | 0 | 0 | 0 | 0 | 2 | 0/0 | 0/0 |
| E8(5) | E8(5) | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 |
| 2F4(2)' | 2F4(2)' | 1 | 1 | 0 | 0 | 6 | 31 | 22/22 | 8/8 |
| 2F4(2)'.2 | 1 | 1 | 0 | 0 | 2 | 13 | 0/0 | 1/7 | |
| R(27) | R(27) | 1 | 0 | 0 | 0 | 1 | 2 | 35/35 | 6/6 |
| R(27):3 | 1 | 0 | 0 | 0 | 1 | 3 | 11/41 | 3/7 | |
| Sz(8) | Sz(8) | 1 | 2 | 0 | 0 | 5 | 32 | 4/11 | 4/4 |
| 2.Sz(8) | 1 | 1 | 0 | 0 | 1 | 5 | 0/0 | 0/0 | |
| 22.Sz(8) | 1 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| Sz(8):3 | 1 | 1 | 0 | 0 | 5 | 9 | 4/17 | 6/5 | |
| 22.Sz(8):3 | 1 | 1 | 0 | 0 | 1 | 3 | 0/0 | 0/0 | |
| Sz(32) | Sz(32) | 1 | 0 | 0 | 0 | 2 | 5 | 35/35 | 4/4 |
| Sz(32):5 | 1 | 0 | 0 | 0 | 1 | 4 | 5/35 | 0/5 | |
| 3D4(2) | 3D4(2) | 1 | 0 | 0 | 0 | 1 | 17 | 35/35 | 9/9 |
| 3D4(2).3 | 1 | 0 | 0 | 0 | 0 | 13 | 49/49 | 1/10 | |
| 3D4(3) | 3D4(3) | 1 | 0 | 0 | 0 | 1 | 2 | 0/0 | 0/0 |
| 3D4(2):3 | 0 | 0 | 0 | 0 | 0 | 0 | 0/0 | 0/0 | |
| 2E6(2) | 2E6(2) | 1 | 0 | 0 | 0 | 0 | 2 | 0/0 | 0/0 |
| 2.2E6(2) | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 3.2E6(2) | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2E6(2):2 | 1 | 0 | 0 | 0 | 0 | 2 | 0/0 | 0/0 | |
| 3.2E6(2):2 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2.2E6(2):2 | 1 | 0 | 0 | 0 | 0 | 2 | 0/0 | 0/0 | |
| 22.2E6(2) | 0 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2E6(2):3 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 3.2E6(2).3 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 2E6(2):S3 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 | |
| 3.2E6(2):S3 | 1 | 0 | 0 | 0 | 0 | 1 | 0/0 | 0/0 |