Order 4352.
1014 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. M16×Dic34 | C2 | semidirect |
| 3. #14529775 | C2 | semidirect |
| 4. #14529773 | C2 | semidirect |
| 72. C17×#100 | Q8 | semidirect |
| 271. #100 | Dic34 | semidirect |
| 276. C17 | #22515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763516 | 2 |
| M16×Dic34 | 2 |
| #14529775 | 2 |
| #14529773 | 2 |
| #14528776 | 2 |
| #14528774 | 2 |
| #100×Dic17 | 2 |
| C4×C17×#100 | 2 |
| #22515 | 17 |