Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 19. #11763209 | C4 | semidirect |
| 20. #11763207 | C4 | semidirect |
| 21. #11763206 | C4 | semidirect |
| 26. C17×#499 | C4 | semidirect |
| 49. #10587530 | Q8 | semidirect |
| 51. #10587529 | Q8 | semidirect |
| 158. #499 | #595 | semidirect |
| 214. C17 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545006 | 2 |
| #14544703 | 2 |
| #14543866 | 2 |
| #14543857 | 2 |
| #14543851 | 2 |
| #14543848 | 2 |
| #14539313 | 2 |
| #13291 | 17 |