Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1328 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 291 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 |
| 2. #19143290 | C2 | semidirect |
| 3. #19135014 | C2 | semidirect |
| 4. #19134883 | C2 | semidirect |
| 5. #19134546 | C2 | semidirect |
| 6. #19134397 | C2 | semidirect |
| 12. C23×C43⋊C8 | C22 | semidirect |
| 15. #14582926 | C22 | semidirect |
| 18. #14582863 | C22 | semidirect |
| 19. #14582855 | C22 | semidirect |
| 20. #14582669 | C22 | semidirect |
| 33. C2×#10621877 | D4 | semidirect |
| 39. C22×C43⋊C8 | D4 | 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 |
| #19143290 | 2 |
| #19135014 | 2 |
| #19134883 | 2 |
| #19134546 | 2 |
| #19134397 | 2 |
| C43×#3025 | 2 |
| #21483 | 43 |