Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1168 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 1168 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. #19134523 | C2 | semidirect |
| 2. #19134513 | C2 | semidirect |
| 3. #19133124 | C2 | semidirect |
| 9. #14582863 | C22 | semidirect |
| 10. #14582762 | C22 | semidirect |
| 13. C23×D4×C43 | C4 | semidirect |
| 17. C2×#121×C43 | C4 | semidirect |
| 21. C2×#117×C43 | C4 | semidirect |
| 214. C23×D4 | Dic43 | semidirect |
| 218. C2×#121 | Dic43 | semidirect |
| 222. C2×#117 | Dic43 | semidirect |
| 230. C43 | #8516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134523 | 2 |
| #19134513 | 2 |
| #19133124 | 2 |
| C2×C43×#535 | 2 |
| #8516 | 43 |