Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 2. #14531751 | C2 | semidirect |
| 5. #14527178 | C2 | semidirect |
| 6. #14526685 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 12. #11763020 | C4 | semidirect |
| 13. #11763010 | C4 | semidirect |
| 176. #1286 | D17 | semidirect |
| 269. C17 | #9182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538258 | 2 |
| #14531751 | 2 |
| #14527343 | 2 |
| #14527280 | 2 |
| #14527178 | 2 |
| #14526685 | 2 |
| C17×#1286 | 2 |
| #9182 | 17 |