Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
536 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19143499 | C2 | semidirect |
| 2. #19136807 | C2 | semidirect |
| 3. #19136768 | C2 | semidirect |
| 4. #19136668 | C2 | semidirect |
| 5. #19136540 | C2 | semidirect |
| 6. #19136491 | C2 | semidirect |
| 7. #19136411 | C2 | semidirect |
| 8. C43×#3176 | C2 | semidirect |
| 18. #14582721 | C22 | semidirect |
| 19. #14582720 | C22 | semidirect |
| 20. #14582712 | C22 | semidirect |
| 23. #14582677 | C22 | semidirect |
| 25. C43×#499 | C22 | semidirect |
| 26. C43×#493 | C22 | semidirect |
| 30. C43×#442 | C22 | semidirect |
| 162. #3176 | D43 | semidirect |
| 179. #499 | C2×D43 | semidirect |
| 180. #493 | C2×D43 | semidirect |
| 188. #442 | C2×D43 | semidirect |
| 199. C43 | #33692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143499 | 2 |
| #19136807 | 2 |
| #19136768 | 2 |
| #19136668 | 2 |
| #19136540 | 2 |
| #19136491 | 2 |
| #19136411 | 2 |
| C43×#3176 | 2 |
| #33692 | 43 |