Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
292 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #14528908 | C2 | semidirect |
| 5. #14526899 | C2 | semidirect |
| 6. #14526896 | C2 | semidirect |
| 7. C17×#1378 | C2 | semidirect |
| 116. #1378 | D17 | semidirect |
| 178. C17 | #13490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762623 | 2 |
| #14530501 | 2 |
| #14529694 | 2 |
| #14528908 | 2 |
| #14526899 | 2 |
| #14526896 | 2 |
| C17×#1378 | 2 |
| #13490 | 17 |