Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 2. #14544668 | C2 | semidirect |
| 3. #14544666 | C2 | semidirect |
| 4. #14543884 | C2 | semidirect |
| 20. #11762835 | C4 | semidirect |
| 22. #11762773 | C4 | semidirect |
| 23. #11762764 | C4 | semidirect |
| 24. C23×C8×C17 | C4 | semidirect |
| 187. C23×C8 | #595 | semidirect |
| 254. C17 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545035 | 2 |
| #14544668 | 2 |
| #14544666 | 2 |
| #14543884 | 2 |
| #14537478 | 2 |
| #12805 | 17 |