Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14528922 | C2 | semidirect |
| 3. #14527468 | C2 | semidirect |
| 4. #14527464 | C2 | semidirect |
| 7. C17×#1450 | C2 | semidirect |
| 134. #1450 | D17 | semidirect |
| 207. C17 | #9769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763156 | 2 |
| #14528922 | 2 |
| #14527468 | 2 |
| #14527464 | 2 |
| #14527451 | 2 |
| C17×#1450 | 2 |
| #9769 | 17 |