Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 11. #11763672 | C4 | semidirect |
| 12. #11763671 | C4 | semidirect |
| 17. #11762561 | C4 | semidirect |
| 18. #11762560 | C4 | semidirect |
| 19. C17×#334 | C4 | semidirect |
| 33. #10587532 | C8 | semidirect |
| 117. #334 | #595 | semidirect |
| 146. C17 | #8268 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587532 | 2 |
| #14544334 | 2 |
| #14543990 | 2 |
| #14543611 | 2 |
| #14527529 | 2 |
| #8268 | 17 |