Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
448 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14530438 | C2 | semidirect |
| 5. #14528832 | C2 | semidirect |
| 6. #14528587 | C2 | semidirect |
| 7. C17×#2135 | C2 | semidirect |
| 8. C22×#63230 | C4 | semidirect |
| 16. #11762845 | C4 | semidirect |
| 17. #11762818 | C4 | semidirect |
| 18. #11762813 | C4 | semidirect |
| 186. #2135 | D17 | semidirect |
| 292. C17 | #13232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538425 | 2 |
| #14530475 | 2 |
| #14530438 | 2 |
| #14530435 | 2 |
| #14528832 | 2 |
| #14528587 | 2 |
| C17×#2135 | 2 |
| #13232 | 17 |