Order 17152.
1170 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22561162 | C2 | semidirect |
| 4. #22561133 | C2 | semidirect |
| 6. C4×#14523967 | C2 | semidirect |
| 22. #533×C67 | C4 | semidirect |
| 185. C67 | #21389 | semidirect |
| 187. #533 | Dic67 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16863449 | 2 |
| C4×#14524002 | 2 |
| #22561162 | 2 |
| #22561133 | 2 |
| #22560522 | 2 |
| C4×#14523967 | 2 |
| C2×#533×C67 | 2 |
| #21389 | 67 |