Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
2238 conjugacy classes of subgroups.
The subgroup lattice has 510 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#11763684 | C2 | direct (N × H) |
| 19. #11763684 | C22 | direct (N × H) |
| 226. C22×C17 | #341 | semidirect |
| 237. C2×D17 | #341 | semidirect |
| 277. C2×C17 | C2×#341 | semidirect |
| 281. D17 | C2×#341 | semidirect |
| 337. C17 | C22×#341 | semidirect |
| 489. C22 | #11763684 | direct (N × H) |
| 507. C2 | C2×#11763684 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D17⋊M16 | 2 |
| C23×#63242 | 2 |
| C2×#11763684 | 2 |
| C22×M16×D17 | 2 |
| C22×#341 | 17 |