Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 125 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. #10623065 | C2 | semidirect |
| 2. C11×#405 | C2 | semidirect |
| 3. #10622750 | C2 | semidirect |
| 5. #10622727 | C2 | semidirect |
| 6. #10622329 | C2 | semidirect |
| 7. #10622327 | C2 | semidirect |
| 8. #10622324 | C2 | semidirect |
| 9. #10622309 | C2 | semidirect |
| 10. C4×#4314 | C2 | semidirect |
| 11. #10622293 | C2 | semidirect |
| 102. #405 | D11 | semidirect |
| 178. C11 | #3173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623065 | 2 |
| C11×#405 | 2 |
| #10622750 | 2 |
| #10622748 | 2 |
| #10622727 | 2 |
| #10622329 | 2 |
| #10622327 | 2 |
| #10622324 | 2 |
| #10622309 | 2 |
| C4×#4314 | 2 |
| #10622293 | 2 |
| #3173 | 11 |