Order 22784.
1402 conjugacy classes of subgroups.
The subgroup lattice has 388 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #26020466 | C2 | direct (N × H) |
| 19. C2×#15667931 | C4 | semidirect |
| 52. #15667931 | C2×C4 | semidirect |
| 190. C2×C89 | #1857 | semidirect |
| 200. C89 | C2×#1857 | semidirect |
| 383. C2 | #26020466 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19152076 | 2 |
| C2×#19151638 | 2 |
| C22×#15667931 | 2 |
| #26020466 | 2 |
| C2×#19151358 | 2 |
| C2×#391×C89 | 2 |
| C2×#1857 | 89 |