Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
290 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14531011 | C2 | semidirect |
| 4. #14526838 | C2 | semidirect |
| 5. #14526748 | C2 | semidirect |
| 7. C17×#2209 | C2 | semidirect |
| 112. #2209 | D17 | semidirect |
| 180. C17 | #12345 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541216 | 2 |
| #14531011 | 2 |
| #14528146 | 2 |
| #14526838 | 2 |
| #14526748 | 2 |
| #14526738 | 2 |
| C17×#2209 | 2 |
| #12345 | 17 |