Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14528924 | C2 | semidirect |
| 3. #14527551 | C2 | semidirect |
| 6. #14526684 | C2 | semidirect |
| 7. C17×#1299 | C2 | semidirect |
| 150. #1299 | D17 | semidirect |
| 237. C17 | #8917 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537951 | 2 |
| #14528924 | 2 |
| #14527551 | 2 |
| #14527373 | 2 |
| #14527250 | 2 |
| #14526684 | 2 |
| C17×#1299 | 2 |
| #8917 | 17 |