Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
438 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 438 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. #10623256 | C2 | semidirect |
| 2. #10623247 | C2 | semidirect |
| 3. C11×#492 | C2 | semidirect |
| 4. #10622785 | C2 | semidirect |
| 5. #10622778 | C2 | semidirect |
| 6. #10622694 | C2 | semidirect |
| 7. #10622686 | C2 | semidirect |
| 8. #10622307 | C2 | semidirect |
| 9. #10622298 | C2 | semidirect |
| 100. #492 | D11 | semidirect |
| 188. C11 | #3207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623256 | 2 |
| #10623247 | 2 |
| C11×#492 | 2 |
| #10622785 | 2 |
| #10622778 | 2 |
| #10622694 | 2 |
| #10622686 | 2 |
| #10622307 | 2 |
| #10622298 | 2 |
| #3207 | 11 |