Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
3706 conjugacy classes of subgroups; only the 315 normal subgroups are shown.
This group has 3706 conjugacy classes of subgroups — too many to draw. Only its 315 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. C2×#11762999 | C2 | semidirect |
| 2. #14532115 | C2 | semidirect |
| 3. #14528732 | C2 | semidirect |
| 4. #14528702 | C2 | semidirect |
| 6. C2×#10587621 | C22 | semidirect |
| 7. C22×#63225 | C22 | semidirect |
| 9. C2×#10587505 | C22 | semidirect |
| 12. #11762689 | C22 | semidirect |
| 14. #11762672 | C22 | semidirect |
| 210. C17 | #32901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762999 | 2 |
| #14532115 | 2 |
| #14528732 | 2 |
| #14528702 | 2 |
| C2×C17×#585 | 2 |
| #32901 | 17 |