Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
526 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 526 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 |
|---|---|---|
| 15. #398×C89 | C4 | semidirect |
| 16. #395×C89 | C4 | semidirect |
| 149. C89 | #9412 | semidirect |
| 153. #398 | Dic89 | semidirect |
| 154. #395 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26022855 | 2 |
| #26018772 | 2 |
| #26018582 | 2 |
| #26018138 | 2 |
| C89×#2583 | 2 |
| #9412 | 89 |