Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
296 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14531013 | C2 | semidirect |
| 3. #14528402 | C2 | semidirect |
| 4. #14526702 | C2 | semidirect |
| 65. C8×C17 | SD32 | semidirect |
| 112. C17 | #12526 | semidirect |
| 144. C8 | #10587498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531039 | 2 |
| #14531013 | 2 |
| #14528402 | 2 |
| #14526702 | 2 |
| C17×#1706 | 2 |
| #12526 | 17 |