Order 17152.
742 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 7. #16863449 | C4 | semidirect |
| 11. #16863266 | C4 | semidirect |
| 16. C4×C4⋊Dic67 | C4 | semidirect |
| 20. #382×C67 | C4 | semidirect |
| 184. C67 | #8026 | semidirect |
| 196. #382 | Dic67 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16863449 | 2 |
| #22562616 | 2 |
| #22558088 | 2 |
| C2×#382×C67 | 2 |
| #8026 | 67 |