Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14527102 | C2 | semidirect |
| 3. #14526804 | C2 | semidirect |
| 4. #14526780 | C2 | semidirect |
| 5. C4×C17×#99 | C2 | semidirect |
| 6. C2×#10587561 | C4 | semidirect |
| 9. #11762721 | C4 | semidirect |
| 11. #11762718 | C4 | semidirect |
| 16. #11762677 | C4 | semidirect |
| 159. C4×#99 | D17 | semidirect |
| 254. C17 | #11730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534636 | 2 |
| #14527102 | 2 |
| #14526804 | 2 |
| #14526780 | 2 |
| C4×C17×#99 | 2 |
| #11730 | 17 |