Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
200 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14531104 | C2 | semidirect |
| 3. #14531045 | C2 | semidirect |
| 4. #14530666 | C2 | semidirect |
| 5. #14526978 | C2 | semidirect |
| 6. #14526975 | C2 | semidirect |
| 7. C17×#1422 | C2 | semidirect |
| 88. #1422 | D17 | semidirect |
| 140. C17 | #13691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531104 | 2 |
| #14531099 | 2 |
| #14531045 | 2 |
| #14530666 | 2 |
| #14526978 | 2 |
| #14526975 | 2 |
| C17×#1422 | 2 |
| #13691 | 17 |