Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
614 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 614 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 |
|---|---|---|
| 2. #26020351 | C2 | semidirect |
| 4. #26018104 | C2 | semidirect |
| 15. #399×C89 | C4 | semidirect |
| 16. #397×C89 | C4 | semidirect |
| 166. C89 | #9481 | semidirect |
| 170. #399 | Dic89 | semidirect |
| 171. #397 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26022850 | 2 |
| #26020351 | 2 |
| #26018579 | 2 |
| #26018104 | 2 |
| C89×#2482 | 2 |
| #9481 | 89 |