Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
680 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 680 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 |
|---|---|---|
| 1. #19137769 | C2 | semidirect |
| 2. C2×#14582696 | C2 | semidirect |
| 3. #19134554 | C2 | semidirect |
| 4. #19132721 | C2 | semidirect |
| 19. C43×#454 | C4 | semidirect |
| 41. 2−1+4×C43 | C2×C4 | semidirect |
| 60. #101×C43 | C2×C4 | semidirect |
| 202. #454 | Dic43 | semidirect |
| 214. C43 | #13055 | semidirect |
| 218. 2−1+4 | C2×Dic43 | semidirect |
| 250. #101 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137769 | 2 |
| C2×#14582696 | 2 |
| #19134554 | 2 |
| #19132721 | 2 |
| C2×C43×#454 | 2 |
| #13055 | 43 |