Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
512 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14539330 | C2 | semidirect |
| 4. #14527500 | C2 | semidirect |
| 6. #14527295 | C2 | semidirect |
| 7. C17×#1300 | C2 | semidirect |
| 162. #1300 | D17 | semidirect |
| 254. C17 | #10100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539789 | 2 |
| #14539330 | 2 |
| #14534720 | 2 |
| #14527500 | 2 |
| #14527381 | 2 |
| #14527295 | 2 |
| C17×#1300 | 2 |
| #10100 | 17 |