Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 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. #10623149 | C2 | semidirect |
| 2. C11×#466 | C2 | semidirect |
| 3. #10622770 | C2 | semidirect |
| 4. D8×Dic11 | C2 | semidirect |
| 5. C8×C22⋊D11 | C2 | semidirect |
| 6. C2×#66882 | C2 | semidirect |
| 7. #10622647 | C2 | semidirect |
| 8. #10622493 | C2 | semidirect |
| 9. #10622491 | C2 | semidirect |
| 10. #10622397 | C2 | semidirect |
| 11. #10622379 | C2 | semidirect |
| 102. #466 | D11 | semidirect |
| 189. C11 | #3339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623149 | 2 |
| C11×#466 | 2 |
| #10622770 | 2 |
| D8×Dic11 | 2 |
| C8×C22⋊D11 | 2 |
| C2×#66882 | 2 |
| #10622647 | 2 |
| #10622493 | 2 |
| #10622491 | 2 |
| #10622397 | 2 |
| #10622379 | 2 |
| #3339 | 11 |