Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14537878 | C2 | semidirect |
| 3. #14527485 | C2 | semidirect |
| 6. #14526653 | C2 | semidirect |
| 7. C17×#1287 | C2 | semidirect |
| 144. #1287 | D17 | semidirect |
| 229. C17 | #9372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539984 | 2 |
| #14537878 | 2 |
| #14527485 | 2 |
| #14527418 | 2 |
| #14527184 | 2 |
| #14526653 | 2 |
| C17×#1287 | 2 |
| #9372 | 17 |