Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 566 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. #14539970 | C2 | semidirect |
| 3. #14533945 | C2 | semidirect |
| 4. #14527385 | C2 | semidirect |
| 5. #14527228 | C2 | semidirect |
| 6. #14526640 | C2 | semidirect |
| 7. C17×#1980 | C2 | semidirect |
| 187. #1980 | D17 | semidirect |
| 299. C17 | #10005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539970 | 2 |
| #14538871 | 2 |
| #14533945 | 2 |
| #14527385 | 2 |
| #14527228 | 2 |
| #14526640 | 2 |
| C17×#1980 | 2 |
| #10005 | 17 |