Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
622 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. C2×#11762535 | C2 | semidirect |
| 4. #14526651 | C2 | semidirect |
| 5. C17×#2316 | C2 | semidirect |
| 9. #11762739 | C4 | semidirect |
| 11. #11762726 | C4 | semidirect |
| 150. #2316 | D17 | semidirect |
| 242. C17 | #9204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534526 | 2 |
| #14527351 | 2 |
| C2×#11762535 | 2 |
| #14526651 | 2 |
| C17×#2316 | 2 |
| #9204 | 17 |