Order 17152.
1326 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #22560221 | C2 | semidirect |
| 6. C4×#14523966 | C2 | semidirect |
| 12. C2×C4×Dic134 | C4 | semidirect |
| 190. C67 | #20735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic134 | 2 |
| C2×#16863449 | 2 |
| #22560293 | 2 |
| #22560221 | 2 |
| #22560143 | 2 |
| C4×#14523966 | 2 |
| C67×#2283 | 2 |
| #20735 | 67 |