Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
396 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10623211 | C2 | semidirect |
| 3. C11×#497 | C2 | semidirect |
| 4. #10622800 | C2 | semidirect |
| 5. #10622798 | C2 | semidirect |
| 6. #10622785 | C2 | semidirect |
| 7. #10622778 | C2 | semidirect |
| 8. #10622695 | C2 | semidirect |
| 9. #10622671 | C2 | semidirect |
| 10. #10622326 | C2 | semidirect |
| 11. #10622318 | C2 | semidirect |
| 117. #497 | D11 | semidirect |
| 224. C11 | #3219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623256 | 2 |
| #10623211 | 2 |
| C11×#497 | 2 |
| #10622800 | 2 |
| #10622798 | 2 |
| #10622785 | 2 |
| #10622778 | 2 |
| #10622695 | 2 |
| #10622671 | 2 |
| #10622326 | 2 |
| #10622318 | 2 |
| #3219 | 11 |