Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
472 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14526784 | C2 | semidirect |
| 11. C2×C17×C4⋊Q8 | C4 | semidirect |
| 14. C17×#397 | C4 | semidirect |
| 19. C4×C4⋊C4×C17 | C4 | semidirect |
| 163. C2×C4⋊Q8 | Dic17 | semidirect |
| 168. #397 | Dic17 | semidirect |
| 174. C4×C4⋊C4 | Dic17 | semidirect |
| 216. C17 | #11878 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528772 | 2 |
| #14527102 | 2 |
| #14526784 | 2 |
| C17×#2547 | 2 |
| #11878 | 17 |