Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14527334 | C2 | semidirect |
| 4. #14527204 | C2 | semidirect |
| 5. #14526648 | C2 | semidirect |
| 6. #14526646 | C2 | semidirect |
| 9. #11763219 | C4 | semidirect |
| 10. #11763219 | C4 | semidirect |
| 11. #11763168 | C4 | semidirect |
| 12. #11763168 | C4 | semidirect |
| 277. C17 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540020 | 2 |
| #14537771 | 2 |
| #14527334 | 2 |
| #14527204 | 2 |
| #14526648 | 2 |
| #14526646 | 2 |
| C17×#1521 | 2 |
| #9369 | 17 |