Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
480 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 81 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. #349×D43 | C2 | semidirect |
| 3. #338×D43 | C2 | semidirect |
| 4. #19132587 | C2 | semidirect |
| 5. #19132586 | C2 | semidirect |
| 6. #19132585 | C2 | semidirect |
| 7. C43×#1341 | C2 | semidirect |
| 20. #14582681 | C22 | semidirect |
| 23. C43⋊#338 | C22 | semidirect |
| 25. C43×#349 | C22 | semidirect |
| 26. C43×#338 | C22 | semidirect |
| 211. #1341 | D43 | direct (N × H) |
| 219. D43 | #1341 | direct (N × H) |
| 235. #349 | C2×D43 | semidirect |
| 238. #338 | C2×D43 | semidirect |
| 239. C43 | C2×#1341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #469×D43 | 2 |
| #349×D43 | 2 |
| #338×D43 | 2 |
| #19132587 | 2 |
| #19132586 | 2 |
| #19132585 | 2 |
| C43×#1341 | 2 |
| C2×#1341 | 43 |