Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
420 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 420 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. #14527421 | C2 | semidirect |
| 4. #14527334 | C2 | semidirect |
| 5. #14526655 | C2 | semidirect |
| 6. #14526648 | C2 | semidirect |
| 9. #11763212 | C4 | semidirect |
| 10. #11763181 | C4 | semidirect |
| 11. #11763161 | C4 | semidirect |
| 12. #11763155 | C4 | semidirect |
| 226. C17 | #9415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539498 | 2 |
| #14537855 | 2 |
| #14527421 | 2 |
| #14527334 | 2 |
| #14526655 | 2 |
| #14526648 | 2 |
| C17×#1514 | 2 |
| #9415 | 17 |