Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
686 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 4. #19133116 | C2 | semidirect |
| 5. #19132960 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#1293 | C2 | semidirect |
| 9. C22×Dic172 | C4 | semidirect |
| 10. C22×#10621873 | C4 | semidirect |
| 19. C2×#13063250 | C4 | semidirect |
| 20. C2×#13063247 | C4 | semidirect |
| 268. #1293 | D43 | semidirect |
| 304. C43 | #9239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583063 | 2 |
| #19143045 | 2 |
| #19134538 | 2 |
| #19133116 | 2 |
| #19132960 | 2 |
| #19132442 | 2 |
| C43×#1293 | 2 |
| #9239 | 43 |