Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
486 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 68 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. #14544483 | C2 | semidirect |
| 2. #14544037 | C2 | semidirect |
| 3. #14543778 | C2 | semidirect |
| 12. C2×#10587561 | C4 | semidirect |
| 14. #11762730 | C4 | semidirect |
| 15. #11762727 | C4 | semidirect |
| 22. C17×#376 | C4 | semidirect |
| 203. #376 | #595 | semidirect |
| 251. C17 | #11758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544483 | 2 |
| #14544037 | 2 |
| #14543778 | 2 |
| #14543763 | 2 |
| #14534465 | 2 |
| #11758 | 17 |