Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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×#424 | C2 | semidirect |
| 5. #10622734 | C2 | semidirect |
| 7. #10622719 | C2 | semidirect |
| 8. #10622460 | C2 | semidirect |
| 9. #10622460 | C2 | semidirect |
| 10. #10622459 | C2 | semidirect |
| 11. #10622455 | C2 | semidirect |
| 27. #66923 | C22 | semidirect |
| 28. #66922 | C22 | semidirect |
| 29. C11×C4⋊C8 | C22 | semidirect |
| 30. C11×C4⋊C8 | C22 | semidirect |
| 35. #66882 | C22 | semidirect |
| 36. #66882 | C22 | semidirect |
| 37. #66882 | C22 | semidirect |
| 38. #66881 | C22 | semidirect |
| 39. #66881 | C22 | semidirect |
| 40. #66881 | C22 | semidirect |
| 46. C2×D44 | Q8 | semidirect |
| 110. #424 | D11 | semidirect |
| 154. C4⋊C8 | C2×D11 | semidirect |
| 155. C4⋊C8 | C2×D11 | semidirect |
| 199. C11 | #3081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623052 | 2 |
| #10623050 | 2 |
| C11×#424 | 2 |
| #10622744 | 2 |
| #10622734 | 2 |
| C2×#66885 | 2 |
| #10622719 | 2 |
| #10622460 | 2 |
| #10622459 | 2 |
| #10622455 | 2 |
| #3081 | 11 |