Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
660 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 660 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 17. #385×C89 | C4 | semidirect |
| 19. #381×C89 | C4 | semidirect |
| 179. C89 | #9502 | semidirect |
| 185. #385 | Dic89 | semidirect |
| 187. #381 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26022850 | 2 |
| #26020326 | 2 |
| #26018156 | 2 |
| C89×#2483 | 2 |
| #9502 | 89 |