Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
606 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 134 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. #11762566 | C4 | semidirect |
| 17. #11762565 | C4 | semidirect |
| 18. C17×H(3,ℤ/4) | C4 | semidirect |
| 169. H(3,ℤ/4) | #595 | semidirect |
| 211. C17 | #11285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545437 | 2 |
| #14544482 | 2 |
| #14544469 | 2 |
| #14544452 | 2 |
| D17×H(3,ℤ/4) | 2 |
| #11285 | 17 |