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. #19133170 | C2 | semidirect |
| 4. #19133141 | C2 | semidirect |
| 5. #19133013 | C2 | semidirect |
| 6. #19132456 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 10. #14583293 | C4 | semidirect |
| 11. #14583288 | C4 | semidirect |
| 12. #14583268 | C4 | semidirect |
| 13. #14583264 | C4 | semidirect |
| 204. #1288 | 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 |
|---|---|
| #19145634 | 2 |
| #19143580 | 2 |
| #19133170 | 2 |
| #19133141 | 2 |
| #19133013 | 2 |
| #19132456 | 2 |
| C43×#1288 | 2 |
| #9370 | 43 |