Order 4352.
1334 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14530137 | C2 | semidirect |
| 42. C2×C22⋊C4×C17 | Q8 | semidirect |
| 52. C2×C22⋊Dic17 | Q8 | semidirect |
| 100. C22⋊C4×C17 | C2×Q8 | semidirect |
| 107. C22⋊Dic17 | C2×Q8 | semidirect |
| 249. C2×C22⋊C4 | Dic34 | semidirect |
| 255. C17 | #23565 | semidirect |
| 302. C22⋊C4 | C2×Dic34 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763435 | 2 |
| #14531396 | 2 |
| #14530137 | 2 |
| C2×#11762576 | 2 |
| C2×#11762575 | 2 |
| C17×#2315 | 2 |
| #23565 | 17 |