Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #14545927 | C2 | semidirect |
| 2. #14545918 | C2 | semidirect |
| 3. #14545784 | C2 | semidirect |
| 44. C4×D4×C17 | C8 | semidirect |
| 45. D4×Dic17 | C8 | semidirect |
| 47. #10587579 | C8 | semidirect |
| 51. C4×D68 | C8 | semidirect |
| 234. C4×D4 | #3633 | semidirect |
| 258. C17 | #7580 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545927 | 2 |
| #14545918 | 2 |
| #14545784 | 2 |
| #14545783 | 2 |
| #14545241 | 2 |
| #7580 | 17 |