Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
992 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 992 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. #19145606 | C2 | semidirect |
| 2. #19144940 | C2 | semidirect |
| 3. #19133901 | C2 | semidirect |
| 4. #19133230 | C2 | semidirect |
| 5. #19133206 | C2 | semidirect |
| 7. #14583456 | C22 | semidirect |
| 8. #14583294 | C22 | semidirect |
| 11. #14583258 | C22 | semidirect |
| 12. #14583258 | C22 | semidirect |
| 16. #14582956 | C22 | semidirect |
| 18. C2×#13063236 | C22 | semidirect |
| 19. #14582639 | C22 | semidirect |
| 20. #14582639 | C22 | semidirect |
| 200. C43 | #19056 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145606 | 2 |
| #19144940 | 2 |
| #19133901 | 2 |
| #19133230 | 2 |
| #19133206 | 2 |
| C43×#3549 | 2 |
| #19056 | 43 |