Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 12. #11763213 | C4 | semidirect |
| 13. #11763211 | C4 | semidirect |
| 19. C17×#499 | C4 | semidirect |
| 35. #10587530 | Q8 | semidirect |
| 113. #499 | #595 | semidirect |
| 153. C17 | #13288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587530 | 2 |
| #14544721 | 2 |
| #14543855 | 2 |
| #14539297 | 2 |
| #13288 | 17 |