Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
344 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14530584 | C2 | semidirect |
| 3. #14528920 | C2 | semidirect |
| 4. #14526800 | C2 | semidirect |
| 5. #14526799 | C2 | semidirect |
| 6. #14526798 | C2 | semidirect |
| 7. C17×#1349 | C2 | semidirect |
| 140. #1349 | D17 | semidirect |
| 218. C17 | #11864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539358 | 2 |
| #14530584 | 2 |
| #14528920 | 2 |
| #14526800 | 2 |
| #14526799 | 2 |
| #14526798 | 2 |
| C17×#1349 | 2 |
| #11864 | 17 |