Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14529628 | C2 | semidirect |
| 4. #14527502 | C2 | semidirect |
| 6. #14526694 | C2 | semidirect |
| 7. C17×#1291 | C2 | semidirect |
| 170. #1291 | D17 | semidirect |
| 268. C17 | #9339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540016 | 2 |
| #14537956 | 2 |
| #14529628 | 2 |
| #14527502 | 2 |
| #14527389 | 2 |
| #14526694 | 2 |
| C17×#1291 | 2 |
| #9339 | 17 |