Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
352 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 352 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. #19136395 | C2 | semidirect |
| 3. #19134487 | C2 | semidirect |
| 4. #19132608 | C2 | semidirect |
| 5. #19132606 | C2 | semidirect |
| 9. #14583300 | C4 | semidirect |
| 10. #14583282 | C4 | semidirect |
| 14. #14582993 | C4 | semidirect |
| 16. D8×Dic43 | C4 | semidirect |
| 188. C43 | #11746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145160 | 2 |
| #19136395 | 2 |
| #19134487 | 2 |
| #19132608 | 2 |
| #19132606 | 2 |
| #19132604 | 2 |
| C43×#1347 | 2 |
| #11746 | 43 |