Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 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. #10623096 | C2 | semidirect |
| 2. C11×#436 | C2 | semidirect |
| 3. #10622748 | C2 | semidirect |
| 4. #10622734 | C2 | semidirect |
| 5. #10622460 | C2 | semidirect |
| 6. #10622350 | C2 | semidirect |
| 7. #10622349 | C2 | semidirect |
| 8. C4×D88 | C2 | semidirect |
| 9. #10622296 | C2 | semidirect |
| 90. #436 | D11 | semidirect |
| 163. C11 | #3355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623096 | 2 |
| C11×#436 | 2 |
| #10622748 | 2 |
| #10622734 | 2 |
| #10622460 | 2 |
| #10622350 | 2 |
| #10622349 | 2 |
| C4×D88 | 2 |
| #10622296 | 2 |
| #3355 | 11 |