Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
438 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19133127 | C2 | semidirect |
| 4. #19132958 | C2 | semidirect |
| 5. #19132503 | C2 | semidirect |
| 6. #19132472 | C2 | semidirect |
| 10. #14583232 | C4 | semidirect |
| 11. #14583215 | C4 | semidirect |
| 15. #14583054 | C4 | semidirect |
| 16. #14583037 | C4 | semidirect |
| 251. C43 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145421 | 2 |
| #19143657 | 2 |
| #19133127 | 2 |
| #19132958 | 2 |
| #19132503 | 2 |
| #19132472 | 2 |
| C43×#1516 | 2 |
| #9331 | 43 |