Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
770 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 770 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 |
|---|---|---|
| 2. #19135444 | C2 | semidirect |
| 3. #19133318 | C2 | semidirect |
| 4. #19133060 | C2 | semidirect |
| 5. #19133013 | C2 | semidirect |
| 6. #19132948 | C2 | semidirect |
| 7. C43×#1529 | C2 | semidirect |
| 22. #14582952 | C22 | semidirect |
| 23. #14582923 | C22 | semidirect |
| 33. C43×#432 | C22 | semidirect |
| 34. C4×M16×C43 | C22 | semidirect |
| 273. #1529 | D43 | semidirect |
| 299. #432 | C2×D43 | semidirect |
| 304. C4×M16 | C2×D43 | semidirect |
| 313. C43 | #8483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149111 | 2 |
| #19135444 | 2 |
| #19133318 | 2 |
| #19133060 | 2 |
| #19133013 | 2 |
| #19132948 | 2 |
| C43×#1529 | 2 |
| #8483 | 43 |