Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 96 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. #14544540 | C2 | semidirect |
| 3. #14543876 | C2 | semidirect |
| 4. #14543873 | C2 | semidirect |
| 9. #11763711 | C4 | semidirect |
| 10. #11763709 | C4 | semidirect |
| 13. C23×#3622 | C4 | semidirect |
| 17. #11762837 | C4 | semidirect |
| 19. #11762767 | C4 | semidirect |
| 20. C17×#407 | C4 | semidirect |
| 158. #407 | #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 |
|---|---|
| #14545035 | 2 |
| #14544540 | 2 |
| #14543876 | 2 |
| #14543873 | 2 |
| #14537474 | 2 |
| #12623 | 17 |