Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19143230 | C2 | semidirect |
| 3. #19134670 | C2 | semidirect |
| 5. #19132449 | C2 | semidirect |
| 6. #19132447 | C2 | semidirect |
| 16. #14582802 | C4 | semidirect |
| 17. #14582802 | C4 | semidirect |
| 20. #14582768 | C4 | semidirect |
| 21. #14582764 | C4 | semidirect |
| 266. C43 | #9446 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143230 | 2 |
| #19139058 | 2 |
| #19134670 | 2 |
| #19133124 | 2 |
| #19132449 | 2 |
| #19132447 | 2 |
| C43×#1510 | 2 |
| #9446 | 43 |