Order 17152.
1510 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22560285 | C2 | semidirect |
| 6. #22559940 | C2 | semidirect |
| 11. C2×#14523999 | C4 | semidirect |
| 12. C2×#14523999 | C4 | semidirect |
| 16. C22×Dic67⋊C4 | C4 | semidirect |
| 18. C22×C4×Dic67 | C4 | semidirect |
| 204. C67 | #20688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14523999 | 2 |
| #22562587 | 2 |
| #22560285 | 2 |
| #22560283 | 2 |
| #22560281 | 2 |
| #22559940 | 2 |
| C67×#1819 | 2 |
| #20688 | 67 |