Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
464 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14537871 | C2 | semidirect |
| 4. #14527230 | C2 | semidirect |
| 5. #14526653 | C2 | semidirect |
| 6. #14526633 | C2 | semidirect |
| 292. C17 | #9244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763028 | 2 |
| #14537871 | 2 |
| #14527382 | 2 |
| #14527230 | 2 |
| #14526653 | 2 |
| #14526633 | 2 |
| C17×#1469 | 2 |
| #9244 | 17 |