Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623264 | C2 | semidirect |
| 2. C11×#500 | C2 | semidirect |
| 3. #10622702 | C2 | semidirect |
| 4. #10622502 | C2 | semidirect |
| 5. #10622500 | C2 | semidirect |
| 6. #10622499 | C2 | semidirect |
| 8. #10622486 | C2 | semidirect |
| 9. #10622485 | C2 | semidirect |
| 10. #10622309 | C2 | semidirect |
| 11. #10622302 | C2 | semidirect |
| 97. #500 | D11 | semidirect |
| 188. C11 | #3175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623264 | 2 |
| C11×#500 | 2 |
| #10622702 | 2 |
| #10622502 | 2 |
| #10622500 | 2 |
| #10622499 | 2 |
| #10622496 | 2 |
| #10622486 | 2 |
| #10622485 | 2 |
| #10622309 | 2 |
| #10622302 | 2 |
| #3175 | 11 |