Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1078 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 1078 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19145590 | C2 | semidirect |
| 2. #19145040 | C2 | semidirect |
| 3. #19133901 | C2 | semidirect |
| 4. #19133884 | C2 | semidirect |
| 5. #19133230 | C2 | semidirect |
| 6. #19133206 | C2 | semidirect |
| 7. C43×#3549 | C2 | semidirect |
| 9. #14583449 | C22 | semidirect |
| 10. #14583294 | C22 | semidirect |
| 12. #14583289 | C22 | semidirect |
| 13. #14583289 | C22 | semidirect |
| 15. #14583258 | C22 | semidirect |
| 19. #14582956 | C22 | semidirect |
| 20. C2×#13063236 | C22 | semidirect |
| 21. #14582639 | C22 | semidirect |
| 22. #14582639 | C22 | semidirect |
| 185. #3549 | D43 | semidirect |
| 222. C43 | #19052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145590 | 2 |
| #19145040 | 2 |
| #19133901 | 2 |
| #19133884 | 2 |
| #19133230 | 2 |
| #19133206 | 2 |
| C43×#3549 | 2 |
| #19052 | 43 |