Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
168 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #14526985 | C2 | semidirect |
| 4. #14526966 | C2 | semidirect |
| 5. #14526964 | C2 | semidirect |
| 7. C17×#1423 | C2 | semidirect |
| 72. #1423 | D17 | semidirect |
| 119. C17 | #13716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530876 | 2 |
| #14530565 | 2 |
| #14526985 | 2 |
| #14526966 | 2 |
| #14526964 | 2 |
| #14526921 | 2 |
| C17×#1423 | 2 |
| #13716 | 17 |