Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
590 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 151 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. D17×#499 | C2 | semidirect |
| 3. #14531029 | C2 | semidirect |
| 4. #14531027 | C2 | semidirect |
| 5. #14531026 | C2 | semidirect |
| 6. #14531017 | C2 | semidirect |
| 7. #14530495 | C2 | semidirect |
| 8. #14530377 | C2 | semidirect |
| 9. C17×#2245 | C2 | semidirect |
| 135. #2245 | D17 | semidirect |
| 219. C17 | #33708 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#499 | 2 |
| #14539213 | 2 |
| #14531029 | 2 |
| #14531027 | 2 |
| #14531026 | 2 |
| #14531017 | 2 |
| #14530495 | 2 |
| #14530377 | 2 |
| C17×#2245 | 2 |
| #33708 | 17 |