Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
810 conjugacy classes of subgroups; only the 176 normal subgroups are shown.
This group has 810 conjugacy classes of subgroups — too many to draw. Only its 176 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. #14545513 | C2 | semidirect |
| 2. #14544922 | C2 | semidirect |
| 3. #14544775 | C2 | semidirect |
| 4. #14544709 | C2 | semidirect |
| 5. #14544502 | C2 | semidirect |
| 18. #11763192 | C4 | semidirect |
| 19. #11763189 | C4 | semidirect |
| 20. #11763181 | C4 | semidirect |
| 22. C17×#493 | C4 | semidirect |
| 121. #493 | #595 | semidirect |
| 162. C17 | #22282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545513 | 2 |
| #14544922 | 2 |
| #14544775 | 2 |
| #14544709 | 2 |
| #14544502 | 2 |
| #14539211 | 2 |
| #22282 | 17 |