Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19143582 | C2 | semidirect |
| 2. #19133172 | C2 | semidirect |
| 3. #19133142 | C2 | semidirect |
| 4. #19133012 | C2 | semidirect |
| 5. #19132461 | C2 | semidirect |
| 6. #19132456 | C2 | semidirect |
| 26. C43×#497 | C4 | semidirect |
| 27. C43×#496 | C4 | semidirect |
| 28. C43×#491 | C4 | semidirect |
| 29. C43×#490 | C4 | semidirect |
| 214. #497 | Dic43 | semidirect |
| 215. #496 | Dic43 | semidirect |
| 216. #491 | Dic43 | semidirect |
| 217. #490 | Dic43 | semidirect |
| 239. C43 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143582 | 2 |
| #19133172 | 2 |
| #19133142 | 2 |
| #19133012 | 2 |
| #19132461 | 2 |
| #19132456 | 2 |
| C43×#3219 | 2 |
| #9370 | 43 |