Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 462 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 |
|---|---|---|
| 1. #14531590 | C2 | semidirect |
| 3. #14527386 | C2 | semidirect |
| 5. #14526650 | C2 | semidirect |
| 6. #14526639 | C2 | semidirect |
| 25. C17×#501 | C4 | semidirect |
| 26. C17×#490 | C4 | semidirect |
| 201. #501 | Dic17 | semidirect |
| 202. #490 | Dic17 | semidirect |
| 276. C17 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531590 | 2 |
| #14529704 | 2 |
| #14527386 | 2 |
| #14527331 | 2 |
| #14526650 | 2 |
| #14526639 | 2 |
| C17×#3234 | 2 |
| #9382 | 17 |