Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14527457 | C2 | semidirect |
| 4. C2×#11762556 | C2 | semidirect |
| 6. #14526635 | C2 | semidirect |
| 7. C17×#1950 | C2 | semidirect |
| 161. #1950 | D17 | semidirect |
| 252. C17 | #10550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539243 | 2 |
| #14527462 | 2 |
| #14527457 | 2 |
| C2×#11762556 | 2 |
| #14527182 | 2 |
| #14526635 | 2 |
| C17×#1950 | 2 |
| #10550 | 17 |