Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 4. #19134643 | C2 | semidirect |
| 5. #19134639 | C2 | semidirect |
| 6. #19132724 | C2 | semidirect |
| 7. C43×#1395 | C2 | semidirect |
| 9. C22×C8×D43 | C4 | semidirect |
| 17. #14582925 | C4 | semidirect |
| 20. #14582862 | C4 | semidirect |
| 21. #14582857 | C4 | semidirect |
| 208. #1395 | D43 | semidirect |
| 238. C43 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143292 | 2 |
| #19136237 | 2 |
| #19136234 | 2 |
| #19134643 | 2 |
| #19134639 | 2 |
| #19132724 | 2 |
| C43×#1395 | 2 |
| #12805 | 43 |