Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
470 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 470 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 |
|---|---|---|
| 2. #19143253 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132483 | C2 | semidirect |
| 7. C43×#1825 | C2 | semidirect |
| 16. #14582942 | C4 | semidirect |
| 17. #14582942 | C4 | semidirect |
| 19. #14582903 | C4 | semidirect |
| 20. #14582903 | C4 | semidirect |
| 217. #1825 | D43 | semidirect |
| 255. C43 | #9348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144535 | 2 |
| #19143253 | 2 |
| #19133162 | 2 |
| #19132954 | 2 |
| #19132501 | 2 |
| #19132483 | 2 |
| C43×#1825 | 2 |
| #9348 | 43 |