Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
468 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #19134695 | C2 | semidirect |
| 4. #19134664 | C2 | semidirect |
| 5. #19132483 | C2 | semidirect |
| 6. #19132443 | C2 | semidirect |
| 10. #14583232 | C4 | semidirect |
| 11. #14583227 | C4 | semidirect |
| 13. #14583215 | C4 | semidirect |
| 14. #14583210 | C4 | semidirect |
| 264. C43 | #9038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144504 | 2 |
| #19143643 | 2 |
| #19134695 | 2 |
| #19134664 | 2 |
| #19132483 | 2 |
| #19132443 | 2 |
| C43×#1501 | 2 |
| #9038 | 43 |