Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. #19133107 | C2 | semidirect |
| 4. #19133068 | C2 | semidirect |
| 5. #19132457 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 22. C43×#500 | C4 | semidirect |
| 23. C43×#498 | C4 | semidirect |
| 24. C43×#486 | C4 | semidirect |
| 25. C43×#486 | C4 | semidirect |
| 178. #500 | Dic43 | semidirect |
| 179. #498 | Dic43 | semidirect |
| 180. #486 | Dic43 | semidirect |
| 181. #486 | Dic43 | semidirect |
| 197. C43 | #9279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143671 | 2 |
| #19133107 | 2 |
| #19133103 | 2 |
| #19133068 | 2 |
| #19132457 | 2 |
| #19132423 | 2 |
| C43×#3228 | 2 |
| #9279 | 43 |