Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
646 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 646 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. #14537246 | C2 | semidirect |
| 3. #14530455 | C2 | semidirect |
| 4. #14530435 | C2 | semidirect |
| 5. #14528760 | C2 | semidirect |
| 6. #14526905 | C2 | semidirect |
| 7. C17×#1395 | C2 | semidirect |
| 9. C2×#10587594 | C4 | semidirect |
| 10. C22×#63219 | C4 | semidirect |
| 19. #11762819 | C4 | semidirect |
| 20. #11762806 | C4 | semidirect |
| 221. #1395 | D17 | semidirect |
| 331. C17 | #13103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538072 | 2 |
| #14537246 | 2 |
| #14530455 | 2 |
| #14530435 | 2 |
| #14528760 | 2 |
| #14526905 | 2 |
| C17×#1395 | 2 |
| #13103 | 17 |