Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #10623001 | C2 | semidirect |
| 3. C11×#423 | C2 | semidirect |
| 5. #10622734 | C2 | semidirect |
| 6. #10622460 | C2 | semidirect |
| 7. #10622459 | C2 | semidirect |
| 8. #10622455 | C2 | semidirect |
| 22. #66923 | C22 | semidirect |
| 23. #66922 | C22 | semidirect |
| 24. #66922 | C22 | semidirect |
| 27. C11×C4⋊C8 | C22 | semidirect |
| 28. C11×C4⋊C8 | C22 | semidirect |
| 31. #66882 | C22 | semidirect |
| 32. #66881 | C22 | semidirect |
| 40. C2×D44 | Q8 | semidirect |
| 99. #423 | D11 | semidirect |
| 139. C4⋊C8 | C2×D11 | semidirect |
| 140. C4⋊C8 | C2×D11 | semidirect |
| 180. C11 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D44 | 2 |
| #10623001 | 2 |
| C11×#423 | 2 |
| #10622744 | 2 |
| #10622734 | 2 |
| #10622460 | 2 |
| #10622459 | 2 |
| #10622455 | 2 |
| #3077 | 11 |