Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 167 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. #14537395 | C2 | semidirect |
| 2. #14530996 | C2 | semidirect |
| 3. #14530556 | C2 | semidirect |
| 4. C2×#11762622 | C2 | semidirect |
| 5. #14530405 | C2 | semidirect |
| 10. #11762858 | C22 | semidirect |
| 13. #11762631 | C22 | semidirect |
| 15. #11762591 | C22 | semidirect |
| 182. C17 | #33657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537395 | 2 |
| #14530996 | 2 |
| #14530556 | 2 |
| C2×#11762622 | 2 |
| #14530405 | 2 |
| C17×#3058 | 2 |
| #33657 | 17 |