Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
436 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 436 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 |
|---|---|---|
| 15. C22×Q16×C17 | C4 | semidirect |
| 22. C17×#427 | C4 | semidirect |
| 23. C17×#419 | C4 | semidirect |
| 161. C22×Q16 | Dic17 | semidirect |
| 169. #427 | Dic17 | semidirect |
| 170. #419 | Dic17 | semidirect |
| 222. C17 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530459 | 2 |
| #14530438 | 2 |
| #14528830 | 2 |
| #14528584 | 2 |
| C17×#3059 | 2 |
| #13230 | 17 |