Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. #14527347 | C2 | semidirect |
| 5. #14527188 | C2 | semidirect |
| 6. #14526679 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 11. #11763100 | C4 | semidirect |
| 12. #11763090 | C4 | semidirect |
| 154. #1286 | D17 | semidirect |
| 241. C17 | #9303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538583 | 2 |
| #14537807 | 2 |
| #14528791 | 2 |
| #14527347 | 2 |
| #14527188 | 2 |
| #14526679 | 2 |
| C17×#1286 | 2 |
| #9303 | 17 |