Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
518 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 518 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 |
|---|---|---|
| 3. #14527411 | C2 | semidirect |
| 4. #14527335 | C2 | semidirect |
| 6. #14526649 | C2 | semidirect |
| 7. C17×#3166 | C2 | semidirect |
| 169. #3166 | D17 | semidirect |
| 276. C17 | #10023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538879 | 2 |
| #14534653 | 2 |
| #14527411 | 2 |
| #14527335 | 2 |
| #14527228 | 2 |
| #14526649 | 2 |
| C17×#3166 | 2 |
| #10023 | 17 |