Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
392 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #19133360 | C2 | semidirect |
| 5. #19132489 | C2 | semidirect |
| 6. #19132487 | C2 | semidirect |
| 7. C43×#1569 | C2 | semidirect |
| 22. #14582638 | C4 | semidirect |
| 23. #14582638 | C4 | semidirect |
| 24. #14582638 | C4 | semidirect |
| 25. #14582638 | C4 | semidirect |
| 184. #1569 | D43 | semidirect |
| 217. C43 | #8918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143665 | 2 |
| #19135426 | 2 |
| #19133360 | 2 |
| #19133186 | 2 |
| #19132489 | 2 |
| #19132487 | 2 |
| C43×#1569 | 2 |
| #8918 | 43 |