Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 16. C17×#500 | C4 | semidirect |
| 17. C17×#494 | C4 | semidirect |
| 18. C17×#487 | C4 | semidirect |
| 134. #500 | Dic17 | semidirect |
| 135. #494 | Dic17 | semidirect |
| 136. #487 | Dic17 | semidirect |
| 187. C17 | #9763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528470 | 2 |
| #14527547 | 2 |
| #14527399 | 2 |
| #14527296 | 2 |
| C17×#3170 | 2 |
| #9763 | 17 |