Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14544539 | C2 | semidirect |
| 3. #14543876 | C2 | semidirect |
| 4. #14543873 | C2 | semidirect |
| 9. #11763712 | C4 | semidirect |
| 10. #11763710 | C4 | semidirect |
| 13. C22×C8×D17 | C4 | semidirect |
| 17. #11762836 | C4 | semidirect |
| 19. #11762772 | C4 | semidirect |
| 20. C17×#405 | C4 | semidirect |
| 160. #405 | #595 | semidirect |
| 202. C17 | #12623 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545037 | 2 |
| #14544539 | 2 |
| #14543876 | 2 |
| #14543873 | 2 |
| #14537480 | 2 |
| #12623 | 17 |