Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
478 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14527457 | C2 | semidirect |
| 4. #14527455 | C2 | semidirect |
| 6. #14526642 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 172. #1286 | D17 | semidirect |
| 265. C17 | #9196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537421 | 2 |
| #14534553 | 2 |
| #14527457 | 2 |
| #14527455 | 2 |
| #14527096 | 2 |
| #14526642 | 2 |
| C17×#1286 | 2 |
| #9196 | 17 |