Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
634 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 634 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 16. #11762574 | C4 | semidirect |
| 17. #11762573 | C4 | semidirect |
| 18. C17×#341 | C4 | semidirect |
| 168. #341 | #595 | semidirect |
| 210. C17 | #11271 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587533 | 2 |
| C2×#11763688 | 2 |
| #14544472 | 2 |
| #14544449 | 2 |
| D17×#341 | 2 |
| #11271 | 17 |