Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
544 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14537501 | C2 | semidirect |
| 3. #14529581 | C2 | semidirect |
| 4. #14527434 | C2 | semidirect |
| 5. #14527208 | C2 | semidirect |
| 6. #14526628 | C2 | semidirect |
| 7. C17×#1301 | C2 | semidirect |
| 122. C2×#3622 | D8 | semidirect |
| 181. #1301 | D17 | semidirect |
| 280. C17 | #9049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538785 | 2 |
| #14537501 | 2 |
| #14529581 | 2 |
| #14527434 | 2 |
| #14527208 | 2 |
| #14526628 | 2 |
| C17×#1301 | 2 |
| #9049 | 17 |