Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #14528947 | C2 | semidirect |
| 5. #14526894 | C2 | semidirect |
| 6. #14526865 | C2 | semidirect |
| 7. C17×#1387 | C2 | semidirect |
| 129. #1387 | D17 | semidirect |
| 200. C17 | #13485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530497 | 2 |
| #14530494 | 2 |
| #14529670 | 2 |
| #14528947 | 2 |
| #14526894 | 2 |
| #14526865 | 2 |
| C17×#1387 | 2 |
| #13485 | 17 |