Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
736 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 140 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. #14543876 | C2 | semidirect |
| 3. #14543875 | C2 | semidirect |
| 258. C17 | #12579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#413 | 2 |
| #14543876 | 2 |
| #14543875 | 2 |
| #14537226 | 2 |
| #12579 | 17 |