Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
508 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14531501 | C2 | semidirect |
| 4. #14527455 | C2 | semidirect |
| 5. #14526642 | C2 | semidirect |
| 6. #14526612 | C2 | semidirect |
| 10. #11763212 | C4 | semidirect |
| 11. #11763155 | C4 | semidirect |
| 255. C17 | #9300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539902 | 2 |
| #14531501 | 2 |
| #14529617 | 2 |
| #14527455 | 2 |
| #14526642 | 2 |
| #14526612 | 2 |
| C17×#1517 | 2 |
| #9300 | 17 |