Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 1. #14528535 | C2 | semidirect |
| 2. #14527547 | C2 | semidirect |
| 3. #14527395 | C2 | semidirect |
| 4. #14527292 | C2 | semidirect |
| 16. C17×#500 | C4 | semidirect |
| 17. C17×#493 | C4 | semidirect |
| 18. C17×#486 | C4 | semidirect |
| 139. #500 | Dic17 | semidirect |
| 140. #493 | Dic17 | semidirect |
| 141. #486 | Dic17 | semidirect |
| 191. C17 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528535 | 2 |
| #14527547 | 2 |
| #14527395 | 2 |
| #14527292 | 2 |
| C17×#3169 | 2 |
| #9764 | 17 |