Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1082 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1082 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19145973 | C2 | semidirect |
| 2. #19145021 | C2 | semidirect |
| 3. #19133740 | C2 | semidirect |
| 4. #19133711 | C2 | semidirect |
| 5. #19133678 | C2 | semidirect |
| 6. #19133649 | C2 | semidirect |
| 7. #19133330 | C2 | semidirect |
| 8. #19133046 | C2 | semidirect |
| 9. C43×#3549 | C2 | semidirect |
| 11. #14583449 | C22 | semidirect |
| 13. #14583278 | C22 | semidirect |
| 15. #14583273 | C22 | semidirect |
| 17. #14583189 | C22 | semidirect |
| 20. #14583094 | C22 | semidirect |
| 22. #14582923 | C22 | semidirect |
| 23. C2×C4×C43⋊C8 | C22 | semidirect |
| 24. #14582648 | C22 | semidirect |
| 26. D4⋊(C43⋊C8) | C22 | semidirect |
| 27. D4⋊(C43⋊C8) | C22 | semidirect |
| 200. #3549 | 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 |
|---|---|
| #19145973 | 2 |
| #19145021 | 2 |
| #19133740 | 2 |
| #19133711 | 2 |
| #19133678 | 2 |
| #19133649 | 2 |
| #19133330 | 2 |
| #19133046 | 2 |
| C43×#3549 | 2 |
| #18686 | 43 |