Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
684 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 4. #14528459 | C2 | semidirect |
| 5. #14528431 | C2 | semidirect |
| 6. #14528416 | C2 | semidirect |
| 7. #14528380 | C2 | semidirect |
| 229. C17 | #19751 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539525 | 2 |
| #14539331 | 2 |
| #14539165 | 2 |
| #14528459 | 2 |
| #14528431 | 2 |
| #14528416 | 2 |
| #14528380 | 2 |
| #14527087 | 2 |
| C17×#3185 | 2 |
| #19751 | 17 |