Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135540 | C2 | semidirect |
| 3. #19133107 | C2 | semidirect |
| 5. #19132487 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 24. C43×#474 | C4 | semidirect |
| 25. C43×#461 | C4 | semidirect |
| 192. #474 | Dic43 | semidirect |
| 193. #461 | Dic43 | semidirect |
| 210. C43 | #9327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137238 | 2 |
| #19135540 | 2 |
| #19133107 | 2 |
| #19133038 | 2 |
| #19132487 | 2 |
| #19132452 | 2 |
| C43×#3110 | 2 |
| #9327 | 43 |