Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
622 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 622 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 |
| 170. H(3,ℤ/4) | #595 | semidirect |
| 212. C17 | #11286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#430 | 2 |
| #14544492 | 2 |
| #14544460 | 2 |
| #14544446 | 2 |
| D17×H(3,ℤ/4) | 2 |
| #11286 | 17 |