Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
996 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 996 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. #19145982 | C2 | semidirect |
| 2. #19144917 | C2 | semidirect |
| 3. #19133823 | C2 | semidirect |
| 4. #19133774 | C2 | semidirect |
| 5. #19133330 | C2 | semidirect |
| 6. #19133046 | C2 | semidirect |
| 8. #14583456 | C22 | semidirect |
| 10. #14583249 | C22 | semidirect |
| 13. #14583179 | C22 | semidirect |
| 15. #14583104 | C22 | semidirect |
| 17. #14582923 | C22 | semidirect |
| 19. C2×C4×C43⋊C8 | C22 | semidirect |
| 20. #14582648 | C22 | semidirect |
| 22. D4⋊(C43⋊C8) | C22 | semidirect |
| 211. C43 | #18691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145982 | 2 |
| #19144917 | 2 |
| #19133823 | 2 |
| #19133774 | 2 |
| #19133330 | 2 |
| #19133046 | 2 |
| C43×#3549 | 2 |
| #18691 | 43 |