Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
582 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14528955 | C2 | semidirect |
| 3. #14527453 | C2 | semidirect |
| 4. #14527452 | C2 | semidirect |
| 5. #14527451 | C2 | semidirect |
| 6. #14527068 | C2 | semidirect |
| 7. C17×#1545 | C2 | semidirect |
| 148. #1545 | D17 | semidirect |
| 229. C17 | #9773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763185 | 2 |
| #14528955 | 2 |
| #14527453 | 2 |
| #14527452 | 2 |
| #14527451 | 2 |
| #14527068 | 2 |
| C17×#1545 | 2 |
| #9773 | 17 |