Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1328 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 251 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. #19149307 | C2 | semidirect |
| 3. #19143292 | C2 | semidirect |
| 4. #19135011 | C2 | semidirect |
| 5. #19134880 | C2 | semidirect |
| 6. #19134398 | C2 | semidirect |
| 7. C43×#1791 | C2 | semidirect |
| 12. C22×C8×D43 | C22 | semidirect |
| 18. #14582925 | C22 | semidirect |
| 20. #14582862 | C22 | semidirect |
| 21. #14582857 | C22 | semidirect |
| 22. #14582671 | C22 | semidirect |
| 34. C2×#10621877 | D4 | semidirect |
| 37. C22×C43⋊C8 | D4 | semidirect |
| 146. #1791 | D43 | semidirect |
| 170. C43 | #21483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149307 | 2 |
| #19143987 | 2 |
| #19143292 | 2 |
| #19135011 | 2 |
| #19134880 | 2 |
| #19134398 | 2 |
| C43×#1791 | 2 |
| #21483 | 43 |