Order 22784.
1966 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 |
|---|---|---|
| 1. #26025909 | C2 | direct (N × H) |
| 188. C2×C89 | #2606 | semidirect |
| 204. C89 | C2×#2606 | semidirect |
| 381. C2 | #26025909 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26025909 | 2 |
| C2×#19151532 | 2 |
| C2×#19151530 | 2 |
| C2×#19151496 | 2 |
| C2×#19151495 | 2 |
| C2×#19151482 | 2 |
| C2×#19151481 | 2 |
| C2×#19151466 | 2 |
| C2×C4×C4⋊Dic89 | 2 |
| C2×#376×C89 | 2 |
| C2×#2606 | 89 |