Order 22784.
648 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #26018144 | C2 | semidirect |
| 8. C4×#13083558 | C4 | semidirect |
| 10. C2×#15667923 | C4 | semidirect |
| 23. #431×C89 | C4 | semidirect |
| 24. #423×C89 | C4 | semidirect |
| 188. C89 | #8074 | semidirect |
| 194. #431 | Dic89 | semidirect |
| 195. #423 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#13083558 | 2 |
| #26022650 | 2 |
| #26018144 | 2 |
| C89×#2920 | 2 |
| #8074 | 89 |