Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
544 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14538724 | C2 | semidirect |
| 3. #14528855 | C2 | semidirect |
| 4. #14527145 | C2 | semidirect |
| 5. #14527144 | C2 | semidirect |
| 6. #14526660 | C2 | semidirect |
| 7. C17×#3094 | C2 | semidirect |
| 180. #3094 | D17 | semidirect |
| 294. C17 | #9977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539532 | 2 |
| #14538724 | 2 |
| #14528855 | 2 |
| #14527145 | 2 |
| #14527144 | 2 |
| #14526660 | 2 |
| C17×#3094 | 2 |
| #9977 | 17 |