Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
398 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 398 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. #14537889 | C2 | semidirect |
| 3. #14527492 | C2 | semidirect |
| 6. #14526696 | C2 | semidirect |
| 7. C17×#1287 | C2 | semidirect |
| 138. #1287 | D17 | semidirect |
| 219. C17 | #9334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539789 | 2 |
| #14537889 | 2 |
| #14527492 | 2 |
| #14527407 | 2 |
| #14527135 | 2 |
| #14526696 | 2 |
| C17×#1287 | 2 |
| #9334 | 17 |