Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 21. #11762531 | C4 | semidirect |
| 22. #11762531 | C4 | semidirect |
| 23. #11762530 | C4 | semidirect |
| 24. C17×#322 | C4 | semidirect |
| 159. #322 | #595 | semidirect |
| 194. C17 | #8821 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544720 | 2 |
| #14544719 | 2 |
| #14544705 | 2 |
| D17×#322 | 2 |
| #8821 | 17 |