Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
428 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14528777 | C2 | semidirect |
| 5. C2×#11762541 | C2 | semidirect |
| 6. #14526658 | C2 | semidirect |
| 7. C17×#1567 | C2 | semidirect |
| 165. #1567 | D17 | semidirect |
| 257. C17 | #10458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538258 | 2 |
| #14528777 | 2 |
| #14527462 | 2 |
| #14527236 | 2 |
| C2×#11762541 | 2 |
| #14526658 | 2 |
| C17×#1567 | 2 |
| #10458 | 17 |