Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
908 conjugacy classes of subgroups.
The subgroup lattice has 426 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #26031393 | C2 | semidirect |
| 3. #26019260 | C2 | semidirect |
| 5. #26018816 | C2 | semidirect |
| 220. C89 | #18310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26031393 | 2 |
| #26026018 | 2 |
| #26019260 | 2 |
| #26019243 | 2 |
| #26018816 | 2 |
| #26018566 | 2 |
| C89×#3458 | 2 |
| #18310 | 89 |