Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
628 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14539976 | C2 | semidirect |
| 3. #14534729 | C2 | semidirect |
| 4. #14527387 | C2 | semidirect |
| 5. #14527293 | C2 | semidirect |
| 6. #14526676 | C2 | semidirect |
| 7. C17×#1555 | C2 | semidirect |
| 166. #1555 | D17 | semidirect |
| 265. C17 | #10089 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539976 | 2 |
| #14539234 | 2 |
| #14534729 | 2 |
| #14527387 | 2 |
| #14527293 | 2 |
| #14526676 | 2 |
| C17×#1555 | 2 |
| #10089 | 17 |