Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 1. #19143690 | C2 | semidirect |
| 2. #19133107 | C2 | semidirect |
| 5. #19132457 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 22. C43×#494 | C4 | semidirect |
| 23. C43×#492 | C4 | semidirect |
| 24. C43×#487 | C4 | semidirect |
| 25. C43×#486 | C4 | semidirect |
| 177. #494 | Dic43 | semidirect |
| 178. #492 | Dic43 | semidirect |
| 179. #487 | Dic43 | semidirect |
| 180. #486 | Dic43 | semidirect |
| 196. C43 | #9282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143690 | 2 |
| #19133107 | 2 |
| #19133103 | 2 |
| #19133064 | 2 |
| #19132457 | 2 |
| #19132423 | 2 |
| C43×#3210 | 2 |
| #9282 | 43 |