Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1328 conjugacy classes of subgroups; only the 279 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 279 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. #19143287 | C2 | semidirect |
| 3. #19135013 | C2 | semidirect |
| 4. #19134881 | C2 | semidirect |
| 5. #19134546 | C2 | semidirect |
| 6. #19134395 | C2 | semidirect |
| 7. C43×#3573 | C2 | semidirect |
| 8. C22×C8×D43 | C22 | semidirect |
| 14. #14582927 | C22 | semidirect |
| 18. #14582862 | C22 | semidirect |
| 19. #14582854 | C22 | semidirect |
| 20. #14582670 | C22 | semidirect |
| 57. C2×M16×C43 | D4 | semidirect |
| 60. C22×C8×C43 | D4 | semidirect |
| 141. #3573 | D43 | semidirect |
| 170. C43 | #21483 | semidirect |
| 185. C2×M16 | C22⋊D43 | semidirect |
| 191. C22×C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143987 | 2 |
| #19143287 | 2 |
| #19135013 | 2 |
| #19134881 | 2 |
| #19134546 | 2 |
| #19134395 | 2 |
| C43×#3573 | 2 |
| #21483 | 43 |