Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
448 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 448 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. #14530478 | C2 | semidirect |
| 4. #14530437 | C2 | semidirect |
| 6. #14528834 | C2 | semidirect |
| 7. C17×#1757 | C2 | semidirect |
| 8. C22×#63219 | C4 | semidirect |
| 16. #11762847 | C4 | semidirect |
| 17. #11762819 | C4 | semidirect |
| 18. #11762815 | C4 | semidirect |
| 191. #1757 | D17 | semidirect |
| 292. C17 | #13232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538423 | 2 |
| #14530478 | 2 |
| #14530475 | 2 |
| #14530437 | 2 |
| #14530433 | 2 |
| #14528834 | 2 |
| C17×#1757 | 2 |
| #13232 | 17 |