Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 91 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. C4×#10587505 | C2 | semidirect |
| 2. #14527102 | C2 | semidirect |
| 3. #14526805 | C2 | semidirect |
| 4. #14526781 | C2 | semidirect |
| 12. C2×C17×#124 | C4 | semidirect |
| 15. C17×#393 | C4 | semidirect |
| 18. C17×#392 | C4 | semidirect |
| 22. C17×#383 | C4 | semidirect |
| 195. C2×#124 | Dic17 | semidirect |
| 200. #393 | Dic17 | semidirect |
| 203. #392 | Dic17 | semidirect |
| 207. #383 | Dic17 | semidirect |
| 254. C17 | #11730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587505 | 2 |
| #14527102 | 2 |
| #14526805 | 2 |
| #14526781 | 2 |
| C17×#2631 | 2 |
| #11730 | 17 |