Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
936 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 936 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. #14539974 | C2 | semidirect |
| 3. #14528095 | C2 | semidirect |
| 4. #14528082 | C2 | semidirect |
| 5. #14527408 | C2 | semidirect |
| 6. #14527386 | C2 | semidirect |
| 7. C2×C17×#563 | C2 | semidirect |
| 11. #11763219 | C22 | semidirect |
| 15. #11763175 | C22 | semidirect |
| 21. #11762551 | C22 | semidirect |
| 166. C2×#563 | D17 | semidirect |
| 269. C17 | #18994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539974 | 2 |
| #14539248 | 2 |
| #14528095 | 2 |
| #14528082 | 2 |
| #14527408 | 2 |
| #14527386 | 2 |
| C2×C17×#563 | 2 |
| #18994 | 17 |