Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. #14529247 | C2 | semidirect |
| 3. #14528967 | C2 | semidirect |
| 4. #14527301 | C2 | semidirect |
| 5. #14527300 | C2 | semidirect |
| 6. #14526660 | C2 | semidirect |
| 7. C17×#1900 | C2 | semidirect |
| 196. #1900 | D17 | semidirect |
| 309. C17 | #10557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539532 | 2 |
| #14529247 | 2 |
| #14528967 | 2 |
| #14527301 | 2 |
| #14527300 | 2 |
| #14526660 | 2 |
| C17×#1900 | 2 |
| #10557 | 17 |