Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 92 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. #14545136 | C2 | semidirect |
| 4. #14543856 | C2 | semidirect |
| 19. #11762591 | C4 | semidirect |
| 20. #11762590 | C4 | semidirect |
| 21. C17×#349 | C4 | semidirect |
| 51. C17×M32 | C2×C4 | semidirect |
| 52. #10587483 | C2×C4 | semidirect |
| 178. #349 | #595 | semidirect |
| 209. M32 | C2×#595 | semidirect |
| 220. C17 | #12923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545437 | 2 |
| #14545136 | 2 |
| #14544662 | 2 |
| #14543856 | 2 |
| D17×#349 | 2 |
| #12923 | 17 |