Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
690 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14531382 | C2 | semidirect |
| 3. #14527353 | C2 | semidirect |
| 4. #14526652 | C2 | semidirect |
| 5. C2×C17×#323 | C2 | semidirect |
| 8. #11762734 | C4 | semidirect |
| 10. #11762718 | C4 | semidirect |
| 51. #10587502 | D4 | semidirect |
| 151. C2×#323 | D17 | semidirect |
| 239. C17 | #9205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534518 | 2 |
| #14531382 | 2 |
| #14527353 | 2 |
| #14526652 | 2 |
| C2×C17×#323 | 2 |
| #9205 | 17 |