Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14529627 | C2 | semidirect |
| 3. #14527502 | C2 | semidirect |
| 5. #14526695 | C2 | semidirect |
| 6. #14526655 | C2 | semidirect |
| 268. C17 | #9339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540011 | 2 |
| #14529627 | 2 |
| #14527502 | 2 |
| #14527391 | 2 |
| #14526695 | 2 |
| #14526655 | 2 |
| C17×#2995 | 2 |
| #9339 | 17 |