Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
356 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 356 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. #19135368 | C2 | semidirect |
| 5. #19132885 | C2 | semidirect |
| 6. #19132436 | C2 | semidirect |
| 7. C43×#1303 | C2 | semidirect |
| 16. #14582644 | C4 | semidirect |
| 17. #14582644 | C4 | semidirect |
| 18. #14582642 | C4 | semidirect |
| 19. #14582642 | C4 | semidirect |
| 169. #1303 | D43 | semidirect |
| 196. C43 | #9592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135513 | 2 |
| #19135368 | 2 |
| #19133242 | 2 |
| #19133045 | 2 |
| #19132885 | 2 |
| #19132436 | 2 |
| C43×#1303 | 2 |
| #9592 | 43 |