Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1244 conjugacy classes of subgroups; only the 323 normal subgroups are shown.
This group has 1244 conjugacy classes of subgroups — too many to draw. Only its 323 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. #19143727 | C2 | semidirect |
| 2. #19133330 | C2 | semidirect |
| 3. #19133263 | C2 | semidirect |
| 4. #19133257 | C2 | semidirect |
| 8. #14582952 | C22 | semidirect |
| 9. #14582923 | C22 | semidirect |
| 10. #14582648 | C22 | semidirect |
| 11. #14582648 | C22 | semidirect |
| 12. #14582643 | C22 | semidirect |
| 13. #14582643 | C22 | semidirect |
| 137. C43 | #17782 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143727 | 2 |
| #19133330 | 2 |
| #19133263 | 2 |
| #19133257 | 2 |
| C43×#3498 | 2 |
| #17782 | 43 |