Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 2. #10623050 | C2 | semidirect |
| 3. C11×#416 | C2 | semidirect |
| 4. #10622845 | C2 | semidirect |
| 5. C2×#66885 | C2 | semidirect |
| 6. #10622714 | C2 | semidirect |
| 7. #10622614 | C2 | semidirect |
| 8. #10622413 | C2 | semidirect |
| 9. #10622408 | C2 | semidirect |
| 10. #10622377 | C2 | semidirect |
| 11. #10622373 | C2 | semidirect |
| 24. #66943 | C22 | semidirect |
| 25. #66941 | C22 | semidirect |
| 29. C11×#103 | C22 | semidirect |
| 30. C11×#103 | C22 | semidirect |
| 31. C11×#102 | C22 | semidirect |
| 32. C11×#102 | C22 | semidirect |
| 33. #66899 | C22 | semidirect |
| 34. #66896 | C22 | semidirect |
| 37. #66879 | C22 | semidirect |
| 38. C8×Dic11 | C22 | semidirect |
| 118. #416 | D11 | semidirect |
| 159. #103 | C2×D11 | semidirect |
| 160. #103 | C2×D11 | semidirect |
| 166. #102 | C2×D11 | semidirect |
| 167. #102 | C2×D11 | semidirect |
| 212. C11 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623361 | 2 |
| #10623050 | 2 |
| C11×#416 | 2 |
| #10622845 | 2 |
| C2×#66885 | 2 |
| #10622714 | 2 |
| #10622614 | 2 |
| #10622413 | 2 |
| #10622408 | 2 |
| #10622377 | 2 |
| #10622373 | 2 |
| #3136 | 11 |