Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
396 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 396 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. #14527398 | C2 | semidirect |
| 6. #14526646 | C2 | semidirect |
| 7. C17×#1275 | C2 | semidirect |
| 147. #1275 | D17 | semidirect |
| 233. C17 | #9284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539922 | 2 |
| #14537878 | 2 |
| #14527398 | 2 |
| #14527394 | 2 |
| #14527254 | 2 |
| #14526646 | 2 |
| C17×#1275 | 2 |
| #9284 | 17 |