Order 22784.
588 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #26018149 | C2 | semidirect |
| 189. C89 | #8081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26028885 | 2 |
| C2×#19151622 | 2 |
| #26018149 | 2 |
| C2×#431×C89 | 2 |
| #8081 | 89 |