Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1702 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14545697 | C2 | semidirect |
| 2. #14545694 | C2 | semidirect |
| 3. #14545691 | C2 | semidirect |
| 4. #14545585 | C2 | semidirect |
| 8. #11763861 | C22 | semidirect |
| 9. #11763861 | C22 | semidirect |
| 10. #11763859 | C22 | semidirect |
| 11. #11763858 | C22 | semidirect |
| 277. C17 | #60249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545697 | 2 |
| #14545694 | 2 |
| #14545691 | 2 |
| #14545585 | 2 |
| #14545466 | 2 |
| #14545462 | 2 |
| C2×#11763365 | 2 |
| #60249 | 17 |