Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
498 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14529613 | C2 | semidirect |
| 2. #14528529 | C2 | semidirect |
| 3. #14527540 | C2 | semidirect |
| 4. #14527235 | C2 | semidirect |
| 14. C17×#500 | C4 | semidirect |
| 15. C17×#493 | C4 | semidirect |
| 16. C17×#486 | C4 | semidirect |
| 125. #500 | Dic17 | semidirect |
| 126. #493 | Dic17 | semidirect |
| 127. #486 | Dic17 | semidirect |
| 169. C17 | #9852 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529613 | 2 |
| #14528529 | 2 |
| #14527540 | 2 |
| #14527235 | 2 |
| C17×#3169 | 2 |
| #9852 | 17 |