Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
572 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14536777 | C2 | semidirect |
| 3. #14526911 | C2 | semidirect |
| 4. #14526910 | C2 | semidirect |
| 22. C17×2−1+4 | Q8 | semidirect |
| 189. 2−1+4 | Dic34 | semidirect |
| 219. C17 | #13378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536777 | 2 |
| #14528743 | 2 |
| #14526911 | 2 |
| #14526910 | 2 |
| C17×#1793 | 2 |
| #13378 | 17 |