Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 74 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. #14544350 | C2 | semidirect |
| 4. #14544349 | C2 | semidirect |
| 5. #14543673 | C2 | semidirect |
| 6. #14543673 | C2 | semidirect |
| 27. #11762549 | C4 | semidirect |
| 28. #11762548 | C4 | semidirect |
| 29. #11762548 | C4 | semidirect |
| 30. C17×#329 | C4 | semidirect |
| 210. #329 | #595 | semidirect |
| 260. C17 | #8918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545670 | 2 |
| #14544921 | 2 |
| #14544350 | 2 |
| #14544349 | 2 |
| #14543673 | 2 |
| #14527374 | 2 |
| #8918 | 17 |