Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 116 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. #14544999 | C2 | semidirect |
| 4. #14543827 | C2 | semidirect |
| 15. #11763706 | C4 | semidirect |
| 16. #11763705 | C4 | semidirect |
| 21. #11762591 | C4 | semidirect |
| 22. #11762590 | C4 | semidirect |
| 23. C17×#349 | C4 | semidirect |
| 178. #349 | #595 | semidirect |
| 222. C17 | #12608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763775 | 2 |
| #14545018 | 2 |
| #14544999 | 2 |
| #14543827 | 2 |
| D17×#349 | 2 |
| #12608 | 17 |