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. #14531031 | C2 | semidirect |
| 4. #14531030 | C2 | semidirect |
| 5. #14531025 | C2 | semidirect |
| 6. #14531014 | C2 | semidirect |
| 7. #14530493 | C2 | semidirect |
| 8. #14530377 | C2 | semidirect |
| 9. C17×#2244 | C2 | semidirect |
| 137. #2244 | 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 |
| #14539211 | 2 |
| #14531031 | 2 |
| #14531030 | 2 |
| #14531025 | 2 |
| #14531014 | 2 |
| #14530493 | 2 |
| #14530377 | 2 |
| C17×#2244 | 2 |
| #33708 | 17 |