Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #14537889 | C2 | semidirect |
| 4. #14527334 | C2 | semidirect |
| 5. #14526657 | C2 | semidirect |
| 6. #14526648 | C2 | semidirect |
| 9. #11763212 | C4 | semidirect |
| 10. #11763181 | C4 | semidirect |
| 11. #11763161 | C4 | semidirect |
| 12. #11763155 | C4 | semidirect |
| 222. C17 | #9418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539498 | 2 |
| #14537889 | 2 |
| #14527419 | 2 |
| #14527334 | 2 |
| #14526657 | 2 |
| #14526648 | 2 |
| C17×#1514 | 2 |
| #9418 | 17 |