Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 3. #14534734 | C2 | semidirect |
| 4. #14527387 | C2 | semidirect |
| 6. #14526676 | C2 | semidirect |
| 7. C17×#1556 | C2 | semidirect |
| 153. #1556 | D17 | semidirect |
| 247. C17 | #10095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539976 | 2 |
| #14539180 | 2 |
| #14534734 | 2 |
| #14527387 | 2 |
| #14527293 | 2 |
| #14526676 | 2 |
| C17×#1556 | 2 |
| #10095 | 17 |