Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1082 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1082 conjugacy classes of subgroups — too many to draw. Only its 163 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. #19149000 | C2 | semidirect |
| 2. #19145973 | C2 | semidirect |
| 3. #19133738 | C2 | semidirect |
| 4. #19133709 | C2 | semidirect |
| 5. #19133676 | C2 | semidirect |
| 6. #19133647 | C2 | semidirect |
| 7. #19133330 | C2 | semidirect |
| 8. #19133047 | C2 | semidirect |
| 9. C43×#3147 | C2 | semidirect |
| 19. #14583186 | C22 | semidirect |
| 22. #14583091 | C22 | semidirect |
| 23. #14582923 | C22 | semidirect |
| 24. #14582648 | C22 | semidirect |
| 26. #14582628 | C22 | semidirect |
| 27. #14582628 | C22 | semidirect |
| 30. C43×#532 | C22 | semidirect |
| 32. C43×#494 | C22 | semidirect |
| 35. C43×#492 | C22 | semidirect |
| 36. C2×C4×C8×C43 | C22 | semidirect |
| 202. #3147 | D43 | semidirect |
| 225. #532 | C2×D43 | semidirect |
| 227. #494 | C2×D43 | semidirect |
| 230. #492 | C2×D43 | semidirect |
| 237. C2×C4×C8 | C2×D43 | semidirect |
| 242. C43 | #18686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149000 | 2 |
| #19145973 | 2 |
| #19133738 | 2 |
| #19133709 | 2 |
| #19133676 | 2 |
| #19133647 | 2 |
| #19133330 | 2 |
| #19133047 | 2 |
| C43×#3147 | 2 |
| #18686 | 43 |