Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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. #10623211 | C2 | semidirect |
| 2. C11×#495 | C2 | semidirect |
| 3. #10622801 | C2 | semidirect |
| 4. Q16×Dic11 | C2 | semidirect |
| 5. #10622784 | C2 | semidirect |
| 6. SD16×Dic11 | C2 | semidirect |
| 8. D8×Dic11 | C2 | semidirect |
| 9. #10622669 | C2 | semidirect |
| 10. C4×C8×D11 | C2 | semidirect |
| 11. #10622296 | C2 | semidirect |
| 99. #495 | D11 | semidirect |
| 189. C11 | #3168 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623211 | 2 |
| C11×#495 | 2 |
| #10622801 | 2 |
| Q16×Dic11 | 2 |
| #10622784 | 2 |
| SD16×Dic11 | 2 |
| #10622770 | 2 |
| D8×Dic11 | 2 |
| #10622669 | 2 |
| C4×C8×D11 | 2 |
| #10622296 | 2 |
| #3168 | 11 |