Order 4352.
1010 conjugacy classes of subgroups.
The subgroup lattice has 408 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #14544886 | C2 | semidirect |
| 5. #14544882 | C2 | semidirect |
| 6. #14544881 | C2 | semidirect |
| 196. C4×C17 | #424 | semidirect |
| 277. C17 | #21145 | semidirect |
| 398. C4 | #11763816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763816 | 2 |
| C2×#11763810 | 2 |
| C2×C4×#63243 | 2 |
| #14544886 | 2 |
| #14544882 | 2 |
| #14544881 | 2 |
| #14544451 | 2 |
| #14531189 | 2 |
| #21145 | 17 |