Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
392 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 113 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. #10623088 | C2 | semidirect |
| 3. C11×#474 | C2 | semidirect |
| 4. #10622707 | C2 | semidirect |
| 5. #10622628 | C2 | semidirect |
| 6. #10622504 | C2 | semidirect |
| 7. #10622499 | C2 | semidirect |
| 8. #10622461 | C2 | semidirect |
| 9. #10622450 | C2 | semidirect |
| 10. #10622400 | C2 | semidirect |
| 11. #10622395 | C2 | semidirect |
| 119. #474 | D11 | semidirect |
| 223. C11 | #3251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623256 | 2 |
| #10623088 | 2 |
| C11×#474 | 2 |
| #10622707 | 2 |
| #10622628 | 2 |
| #10622504 | 2 |
| #10622499 | 2 |
| #10622461 | 2 |
| #10622450 | 2 |
| #10622400 | 2 |
| #10622395 | 2 |
| #3251 | 11 |