Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 2. #14530572 | C2 | semidirect |
| 4. #14526890 | C2 | semidirect |
| 19. C17×#349 | C4 | semidirect |
| 39. C17×M32 | C2×C4 | semidirect |
| 155. #349 | Dic17 | semidirect |
| 182. M32 | C2×Dic17 | semidirect |
| 193. C17 | #12923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537374 | 2 |
| #14530572 | 2 |
| #14528817 | 2 |
| #14526890 | 2 |
| C2×C17×#349 | 2 |
| #12923 | 17 |