Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
548 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 1. D17⋊#430 | C2 | semidirect |
| 2. D17⋊#361 | C2 | semidirect |
| 3. #14545018 | C2 | semidirect |
| 4. #14543848 | C2 | semidirect |
| 60. #10587535 | D4 | semidirect |
| 277. C17 | #13010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#430 | 2 |
| D17⋊#361 | 2 |
| #14545018 | 2 |
| #14543848 | 2 |
| D17×#469 | 2 |
| #13010 | 17 |