Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
176 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14531058 | C2 | semidirect |
| 3. #14526986 | C2 | semidirect |
| 4. #14526985 | C2 | semidirect |
| 5. #14526979 | C2 | semidirect |
| 23. C17×D16 | Q8 | semidirect |
| 102. D16 | Dic34 | semidirect |
| 113. C17 | #13705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531058 | 2 |
| D16×Dic17 | 2 |
| #14526986 | 2 |
| #14526985 | 2 |
| #14526979 | 2 |
| #14526962 | 2 |
| C17×#1415 | 2 |
| #13705 | 17 |