Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 2. #19143657 | C2 | semidirect |
| 3. #19133123 | C2 | semidirect |
| 4. #19132954 | C2 | semidirect |
| 5. #19132503 | C2 | semidirect |
| 6. #19132472 | C2 | semidirect |
| 7. C43×#1516 | C2 | semidirect |
| 9. #14583227 | C4 | semidirect |
| 11. #14583210 | C4 | semidirect |
| 14. #14583049 | C4 | semidirect |
| 16. #14583032 | C4 | semidirect |
| 220. #1516 | D43 | semidirect |
| 260. C43 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145405 | 2 |
| #19143657 | 2 |
| #19133123 | 2 |
| #19132954 | 2 |
| #19132503 | 2 |
| #19132472 | 2 |
| C43×#1516 | 2 |
| #9332 | 43 |