Order 22784.
866 conjugacy classes of subgroups.
The subgroup lattice has 386 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #26020809 | C2 | semidirect |
| 3. #26020807 | C2 | semidirect |
| 34. C2×#13083553 | C8 | semidirect |
| 200. C89 | #21912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#13083553 | 2 |
| #26020809 | 2 |
| #26020807 | 2 |
| #26020318 | 2 |
| #26020230 | 2 |
| C4×C22⋊#10623494 | 2 |
| C4×C22⋊C8×C89 | 2 |
| #21912 | 89 |