Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14527551 | C2 | semidirect |
| 4. #14526678 | C2 | semidirect |
| 19. C17×#329 | C4 | semidirect |
| 20. C17×#329 | C4 | semidirect |
| 21. C17×#329 | C4 | semidirect |
| 151. #329 | Dic17 | semidirect |
| 152. #329 | Dic17 | semidirect |
| 153. #329 | Dic17 | semidirect |
| 188. C17 | #8918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537855 | 2 |
| #14529617 | 2 |
| #14527551 | 2 |
| #14526678 | 2 |
| C17×#1525 | 2 |
| #8918 | 17 |