Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19143734 | C2 | semidirect |
| 2. #19135523 | C2 | semidirect |
| 3. #19133309 | C2 | semidirect |
| 4. #19133120 | C2 | semidirect |
| 5. #19132464 | C2 | semidirect |
| 6. #19132450 | C2 | semidirect |
| 26. C43×#496 | C4 | semidirect |
| 27. C43×#490 | C4 | semidirect |
| 225. #496 | Dic43 | semidirect |
| 226. #490 | Dic43 | semidirect |
| 248. C43 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143734 | 2 |
| #19135523 | 2 |
| #19133309 | 2 |
| #19133120 | 2 |
| #19132464 | 2 |
| #19132450 | 2 |
| C43×#3217 | 2 |
| #9378 | 43 |