Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
396 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14528535 | C2 | semidirect |
| 3. #14527400 | C2 | semidirect |
| 5. #14527297 | C2 | semidirect |
| 7. C17×#1568 | C2 | semidirect |
| 10. #11763207 | C4 | semidirect |
| 11. #11763182 | C4 | semidirect |
| 12. #11763160 | C4 | semidirect |
| 13. #11763156 | C4 | semidirect |
| 156. #1568 | D17 | semidirect |
| 250. C17 | #9766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539343 | 2 |
| #14528535 | 2 |
| #14527400 | 2 |
| #14527396 | 2 |
| #14527297 | 2 |
| #14527293 | 2 |
| C17×#1568 | 2 |
| #9766 | 17 |