Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
304 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19136411 | C2 | semidirect |
| 2. #19134350 | C2 | semidirect |
| 3. #19132589 | C2 | semidirect |
| 5. #19132583 | C2 | semidirect |
| 17. C43×#498 | C4 | semidirect |
| 18. C43×#495 | C4 | semidirect |
| 23. C43×#442 | C4 | semidirect |
| 24. C43×#441 | C4 | semidirect |
| 153. #498 | Dic43 | semidirect |
| 154. #495 | Dic43 | semidirect |
| 159. #442 | Dic43 | semidirect |
| 160. #441 | Dic43 | semidirect |
| 171. C43 | #11769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136411 | 2 |
| #19134350 | 2 |
| #19132589 | 2 |
| #19132586 | 2 |
| #19132583 | 2 |
| #19132580 | 2 |
| C43×#3173 | 2 |
| #11769 | 43 |