Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 512 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 |
|---|---|---|
| 2. #19136812 | C2 | semidirect |
| 3. #19136768 | C2 | semidirect |
| 4. #19136673 | C2 | semidirect |
| 6. #19136484 | C2 | semidirect |
| 7. #19136411 | C2 | semidirect |
| 8. C43×#3177 | C2 | semidirect |
| 18. #14582721 | C22 | semidirect |
| 19. #14582720 | C22 | semidirect |
| 20. #14582715 | C22 | semidirect |
| 23. #14582677 | C22 | semidirect |
| 25. C43×#499 | C22 | semidirect |
| 26. C43×#494 | C22 | semidirect |
| 30. C43×#441 | C22 | semidirect |
| 157. #3177 | D43 | semidirect |
| 173. #499 | C2×D43 | semidirect |
| 174. #494 | C2×D43 | semidirect |
| 182. #441 | C2×D43 | semidirect |
| 193. C43 | #33693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143499 | 2 |
| #19136812 | 2 |
| #19136768 | 2 |
| #19136673 | 2 |
| #19136545 | 2 |
| #19136484 | 2 |
| #19136411 | 2 |
| C43×#3177 | 2 |
| #33693 | 43 |