Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
524 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14527102 | C2 | semidirect |
| 3. #14526727 | C2 | semidirect |
| 4. #14526715 | C2 | semidirect |
| 5. C17×#1459 | C2 | semidirect |
| 40. #10587626 | C8 | semidirect |
| 88. C2×D68 | C2×C8 | semidirect |
| 108. C4×Dic17 | C2×C8 | semidirect |
| 167. #1459 | D17 | semidirect |
| 262. C17 | #11479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531506 | 2 |
| #14527102 | 2 |
| #14526727 | 2 |
| #14526715 | 2 |
| C17×#1459 | 2 |
| #11479 | 17 |