Order 4352.
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. #14526650 | C2 | semidirect |
| 8. C4×#63223 | C4 | semidirect |
| 11. C2×C4×#3622 | C4 | semidirect |
| 20. C17×#432 | C4 | semidirect |
| 26. C4×M16×C17 | C4 | semidirect |
| 184. #432 | Dic17 | semidirect |
| 194. C4×M16 | Dic17 | semidirect |
| 247. C17 | #7974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#63223 | 2 |
| #14531182 | 2 |
| #14526650 | 2 |
| C17×#2920 | 2 |
| #7974 | 17 |