Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
512 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 512 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 |
|---|---|---|
| 3. #14527501 | C2 | semidirect |
| 5. #14527296 | C2 | semidirect |
| 6. #14526678 | C2 | semidirect |
| 7. C17×#3165 | C2 | semidirect |
| 157. #3165 | D17 | semidirect |
| 254. C17 | #10100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539783 | 2 |
| #14534725 | 2 |
| #14527501 | 2 |
| #14527381 | 2 |
| #14527296 | 2 |
| #14526678 | 2 |
| C17×#3165 | 2 |
| #10100 | 17 |