Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
434 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 111 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10623256 | C2 | semidirect |
| 2. #10623199 | C2 | semidirect |
| 3. C11×#489 | C2 | semidirect |
| 4. #10622702 | C2 | semidirect |
| 5. #10622671 | C2 | semidirect |
| 6. #10622431 | C2 | semidirect |
| 7. #10622424 | C2 | semidirect |
| 8. #10622399 | C2 | semidirect |
| 9. #10622394 | C2 | semidirect |
| 10. #10622325 | C2 | semidirect |
| 11. #10622318 | C2 | semidirect |
| 126. #489 | D11 | semidirect |
| 234. C11 | #3214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623256 | 2 |
| #10623199 | 2 |
| C11×#489 | 2 |
| #10622702 | 2 |
| #10622671 | 2 |
| #10622431 | 2 |
| #10622424 | 2 |
| #10622399 | 2 |
| #10622394 | 2 |
| #10622325 | 2 |
| #10622318 | 2 |
| #3214 | 11 |