Exceptional groups (and variants)
| Exceptional group | Variants | |||
|---|---|---|---|---|
| Sz(8) | Sz(8):3 | 2.Sz(8) | 22.Sz(8) | 22.Sz(8):3 |
| Sz(32) | Sz(32):5 | |||
| 2F4(2)' | 2F4(2) | |||
| G2(3) | G2(3):2 | 3.G2(3) | 3.G2(3):2 |
Simple exceptional groups in more detail
| Group | Standard generators | Conjugacy classes | Character information | Modular information | Permutation representations | Linear representations | Maximal subgroups |
|---|---|---|---|---|---|---|---|
| 2F4(2)' | Yes | Yes | Complete | Complete | All primitive | All irreducibles in positive characteristic | All, with SLPs with standard generators if applicable |
| G2(3) | Yes | Yes | Complete | Complete | All primitive | All irreducibles in positive characteristic | All, with SLPs with standard generators if applicable |