Order 4352.
1486 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 |
|---|---|---|
| 12. #11762675 | C4 | semidirect |
| 13. #11762655 | C4 | semidirect |
| 24. C17×#376 | C4 | semidirect |
| 104. C42×C17 | C42 | semidirect |
| 200. #376 | Dic17 | semidirect |
| 253. C17 | #13805 | semidirect |
| 301. C42 | C4×Dic17 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762675 | 2 |
| C2×#11762655 | 2 |
| #14527018 | 2 |
| #14527011 | 2 |
| #14527009 | 2 |
| C4×#10587502 | 2 |
| #95×Dic17 | 2 |
| C2×C17×#376 | 2 |
| #13805 | 17 |