Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
536 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#11763145 | C2 | semidirect |
| 4. #14528862 | C2 | semidirect |
| 5. #14527147 | C2 | semidirect |
| 7. C17×#1298 | C2 | semidirect |
| 170. #1298 | D17 | semidirect |
| 268. C17 | #9994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539591 | 2 |
| C2×#11763145 | 2 |
| C2×#11763123 | 2 |
| #14528862 | 2 |
| #14527147 | 2 |
| #14527143 | 2 |
| C17×#1298 | 2 |
| #9994 | 17 |