Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
610 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. #14533262 | C2 | semidirect |
| 4. #14528872 | C2 | semidirect |
| 5. #14527355 | C2 | semidirect |
| 6. #14526632 | C2 | semidirect |
| 111. C22⋊C4×C17 | SD16 | semidirect |
| 286. C17 | #9951 | semidirect |
| 338. C22⋊C4 | #63229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539541 | 2 |
| C2×#11763125 | 2 |
| #14533262 | 2 |
| #14528872 | 2 |
| #14527355 | 2 |
| #14526632 | 2 |
| C17×#1964 | 2 |
| #9951 | 17 |