Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
820 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135426 | C2 | semidirect |
| 3. #19133315 | C2 | semidirect |
| 4. #19133229 | C2 | semidirect |
| 5. #19133104 | C2 | semidirect |
| 6. #19133103 | C2 | semidirect |
| 7. C43×#1557 | C2 | semidirect |
| 11. #14583614 | C4 | semidirect |
| 13. D4×D172 | C4 | semidirect |
| 20. #14582956 | C22 | semidirect |
| 22. #14582745 | C22 | semidirect |
| 29. C43×#432 | C22 | semidirect |
| 30. C43×#423 | C22 | semidirect |
| 230. #1557 | D43 | semidirect |
| 255. #432 | C2×D43 | semidirect |
| 256. #423 | C2×D43 | semidirect |
| 266. C43 | #8491 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149000 | 2 |
| #19135426 | 2 |
| #19133315 | 2 |
| #19133229 | 2 |
| #19133104 | 2 |
| #19133103 | 2 |
| C43×#1557 | 2 |
| #8491 | 43 |