Order 4352.
730 conjugacy classes of subgroups.
The subgroup lattice has 422 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 8. #11763895 | C4 | semidirect |
| 36. C2×C4×#595 | C8 | semidirect |
| 42. C2×C4⋊C4×C17 | C8 | semidirect |
| 43. C2×C4⋊Dic17 | C8 | semidirect |
| 44. C2×#63225 | C8 | semidirect |
| 45. C2×#63225 | C8 | semidirect |
| 147. C2×C4×C17 | C4×C8 | semidirect |
| 154. C2×Dic17 | C4×C8 | semidirect |
| 197. #595 | #324 | semidirect |
| 244. C2×C4⋊C4 | #3633 | semidirect |
| 260. C17 | C4×#324 | semidirect |
| 373. C2×C4 | C4×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊#3633 | 2 |
| C2×#11763895 | 2 |
| #14545793 | 2 |
| C2×C4⋊C4×#595 | 2 |
| C4×#324 | 17 |