Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19143690 | C2 | semidirect |
| 5. #19132456 | C2 | semidirect |
| 6. #19132424 | C2 | semidirect |
| 7. C43×#1506 | C2 | semidirect |
| 9. #14583278 | C4 | semidirect |
| 10. #14583273 | C4 | semidirect |
| 11. #14583251 | C4 | semidirect |
| 12. #14583247 | C4 | semidirect |
| 165. #1506 | D43 | semidirect |
| 196. C43 | #9282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145547 | 2 |
| #19143690 | 2 |
| #19133102 | 2 |
| #19133063 | 2 |
| #19132456 | 2 |
| #19132424 | 2 |
| C43×#1506 | 2 |
| #9282 | 43 |