Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1256 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1256 conjugacy classes of subgroups — too many to draw. Only its 183 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. #19145392 | C2 | semidirect |
| 2. #19140075 | C2 | semidirect |
| 3. #19133632 | C2 | semidirect |
| 4. #19133530 | C2 | semidirect |
| 5. #19133111 | C2 | semidirect |
| 6. #19132925 | C2 | semidirect |
| 7. C2×C43×#537 | C2 | semidirect |
| 10. #14583215 | C22 | semidirect |
| 13. #14583032 | C22 | semidirect |
| 15. #14582838 | C22 | semidirect |
| 16. #14582816 | C22 | semidirect |
| 21. #14582633 | C22 | semidirect |
| 22. #14582625 | C22 | semidirect |
| 215. C2×#537 | D43 | semidirect |
| 254. C43 | #18324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145392 | 2 |
| #19140075 | 2 |
| #19133632 | 2 |
| #19133530 | 2 |
| #19133111 | 2 |
| #19132925 | 2 |
| C2×C43×#537 | 2 |
| #18324 | 43 |