Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1002 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 1002 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19134513 | C2 | semidirect |
| 2. #19134507 | C2 | semidirect |
| 3. #19133151 | C2 | semidirect |
| 11. C2×2−1+4×C43 | C4 | semidirect |
| 16. C43×#535 | C4 | semidirect |
| 19. C43×#519 | C4 | semidirect |
| 165. C2×2−1+4 | Dic43 | semidirect |
| 170. #535 | Dic43 | semidirect |
| 173. #519 | Dic43 | semidirect |
| 180. C43 | #8464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134513 | 2 |
| #19134507 | 2 |
| #19133151 | 2 |
| C43×#3487 | 2 |
| #8464 | 43 |