Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
380 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #14528938 | C2 | semidirect |
| 3. #14527570 | C2 | semidirect |
| 6. #14526635 | C2 | semidirect |
| 7. C17×#1300 | C2 | semidirect |
| 159. #1300 | D17 | semidirect |
| 253. C17 | #8876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537925 | 2 |
| #14528938 | 2 |
| #14527570 | 2 |
| #14527268 | 2 |
| #14527198 | 2 |
| #14526635 | 2 |
| C17×#1300 | 2 |
| #8876 | 17 |