Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14527385 | C2 | semidirect |
| 5. #14527139 | C2 | semidirect |
| 6. #14526695 | C2 | semidirect |
| 7. C17×#1299 | C2 | semidirect |
| 168. #1299 | D17 | semidirect |
| 266. C17 | #9351 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538607 | 2 |
| #14537799 | 2 |
| #14527385 | 2 |
| #14527219 | 2 |
| #14527139 | 2 |
| #14526695 | 2 |
| C17×#1299 | 2 |
| #9351 | 17 |