Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
304 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 4. #14526957 | C2 | semidirect |
| 5. #14526952 | C2 | semidirect |
| 6. #14526952 | C2 | semidirect |
| 7. C17×#1413 | C2 | semidirect |
| 138. #1413 | D17 | semidirect |
| 213. C17 | #13612 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539868 | 2 |
| #14530477 | 2 |
| #14530472 | 2 |
| #14526957 | 2 |
| #14526952 | 2 |
| C17×#1413 | 2 |
| #13612 | 17 |