Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
694 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #26018969 | C2 | semidirect |
| 2. #26018879 | C2 | semidirect |
| 191. C89 | #8525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26018969 | 2 |
| #26018879 | 2 |
| #26018586 | 2 |
| C2×#544×C89 | 2 |
| #8525 | 89 |