Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143580 | C2 | semidirect |
| 3. #19133173 | C2 | semidirect |
| 4. #19133142 | C2 | semidirect |
| 5. #19132460 | C2 | semidirect |
| 6. #19132457 | C2 | semidirect |
| 7. C43×#1484 | C2 | semidirect |
| 9. #14583291 | C4 | semidirect |
| 10. #14583286 | C4 | semidirect |
| 11. #14583267 | C4 | semidirect |
| 12. #14583263 | C4 | semidirect |
| 203. #1484 | D43 | semidirect |
| 239. C43 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145632 | 2 |
| #19143580 | 2 |
| #19133173 | 2 |
| #19133142 | 2 |
| #19132460 | 2 |
| #19132457 | 2 |
| C43×#1484 | 2 |
| #9370 | 43 |