Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #10623221 | C2 | semidirect |
| 2. C11×#499 | C2 | semidirect |
| 3. #10622679 | C2 | semidirect |
| 4. #10622504 | C2 | semidirect |
| 5. #10622503 | C2 | semidirect |
| 7. #10622469 | C2 | semidirect |
| 9. #10622292 | C2 | semidirect |
| 59. D88 | Q8 | semidirect |
| 82. #499 | D11 | semidirect |
| 156. C11 | #3389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623221 | 2 |
| C11×#499 | 2 |
| #10622679 | 2 |
| #10622504 | 2 |
| #10622503 | 2 |
| #10622482 | 2 |
| #10622469 | 2 |
| C4×D88 | 2 |
| #10622292 | 2 |
| #3389 | 11 |