Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
926 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 926 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 1. #14539982 | C2 | semidirect |
| 3. #14528095 | C2 | semidirect |
| 4. #14528082 | C2 | semidirect |
| 5. #14527419 | C2 | semidirect |
| 6. #14527399 | C2 | semidirect |
| 7. C17×#3550 | C2 | semidirect |
| 156. #3550 | D17 | semidirect |
| 256. C17 | #19054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539982 | 2 |
| #14539229 | 2 |
| #14528095 | 2 |
| #14528082 | 2 |
| #14527419 | 2 |
| #14527399 | 2 |
| C17×#3550 | 2 |
| #19054 | 17 |