Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14533951 | C2 | semidirect |
| 3. #14529704 | C2 | semidirect |
| 4. #14527386 | C2 | semidirect |
| 5. #14527226 | C2 | semidirect |
| 6. #14526641 | C2 | semidirect |
| 7. C17×#3234 | C2 | semidirect |
| 184. #3234 | D17 | semidirect |
| 299. C17 | #10005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538871 | 2 |
| #14533951 | 2 |
| #14529704 | 2 |
| #14527386 | 2 |
| #14527226 | 2 |
| #14526641 | 2 |
| C17×#3234 | 2 |
| #10005 | 17 |