Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
348 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14530596 | C2 | semidirect |
| 2. #14527081 | C2 | semidirect |
| 3. #14526760 | C2 | semidirect |
| 4. #14526757 | C2 | semidirect |
| 7. #11762630 | C22 | semidirect |
| 11. #11762530 | C22 | semidirect |
| 12. C8×#3622 | C22 | semidirect |
| 171. C17 | #11670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530596 | 2 |
| #14527081 | 2 |
| #14526760 | 2 |
| #14526757 | 2 |
| C17×#2956 | 2 |
| #11670 | 17 |