Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
498 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 498 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. #14537923 | C2 | semidirect |
| 3. #14529711 | C2 | semidirect |
| 4. #14527497 | C2 | semidirect |
| 5. #14526653 | C2 | semidirect |
| 6. #14526640 | C2 | semidirect |
| 7. C17×#1509 | C2 | semidirect |
| 9. #11763199 | C4 | semidirect |
| 10. #11763175 | C4 | semidirect |
| 187. #1509 | D17 | semidirect |
| 297. C17 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539799 | 2 |
| #14537923 | 2 |
| #14529711 | 2 |
| #14527497 | 2 |
| #14526653 | 2 |
| #14526640 | 2 |
| C17×#1509 | 2 |
| #9378 | 17 |