Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
252 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 13. #11762633 | C4 | semidirect |
| 152. C17 | #13115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530558 | 2 |
| #14529537 | 2 |
| #14526900 | 2 |
| #14526897 | 2 |
| #14526885 | 2 |
| #14526868 | 2 |
| C17×#1773 | 2 |
| #13115 | 17 |