Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
322 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 322 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 |
|---|---|---|
| 2. #14530377 | C2 | semidirect |
| 3. #14527544 | C2 | semidirect |
| 4. #14526755 | C2 | semidirect |
| 5. #14526753 | C2 | semidirect |
| 6. #14526751 | C2 | semidirect |
| 7. C17×#1333 | C2 | semidirect |
| 135. #1333 | D17 | semidirect |
| 211. C17 | #11682 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539352 | 2 |
| #14530377 | 2 |
| #14527544 | 2 |
| #14526755 | 2 |
| #14526753 | 2 |
| #14526751 | 2 |
| C17×#1333 | 2 |
| #11682 | 17 |