Order 22784.
1012 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #26029281 | C2 | semidirect |
| 2. #26018612 | C2 | semidirect |
| 3. #26018600 | C2 | semidirect |
| 4. #26018593 | C2 | semidirect |
| 5. #26018586 | C2 | semidirect |
| 195. C89 | #17408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26029281 | 2 |
| #26018612 | 2 |
| #26018600 | 2 |
| #26018593 | 2 |
| #26018586 | 2 |
| C2×#540×C89 | 2 |
| #17408 | 89 |