Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
382 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 22. C43×#500 | C4 | semidirect |
| 23. C43×#498 | C4 | semidirect |
| 24. C43×#487 | C4 | semidirect |
| 25. C43×#487 | C4 | semidirect |
| 167. #500 | Dic43 | semidirect |
| 168. #498 | Dic43 | semidirect |
| 169. #487 | Dic43 | semidirect |
| 170. #487 | Dic43 | semidirect |
| 186. C43 | #9280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143690 | 2 |
| #19133107 | 2 |
| #19133068 | 2 |
| #19132457 | 2 |
| #19132423 | 2 |
| C43×#3231 | 2 |
| #9280 | 43 |