Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 2. C4×#10587493 | C2 | semidirect |
| 4. #14527205 | C2 | semidirect |
| 6. M16×#3622 | C2 | semidirect |
| 7. C17×#1526 | C2 | semidirect |
| 156. #1526 | D17 | semidirect |
| 250. C17 | #9723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539344 | 2 |
| C4×#10587493 | 2 |
| #14527375 | 2 |
| #14527205 | 2 |
| #14527202 | 2 |
| M16×#3622 | 2 |
| C17×#1526 | 2 |
| #9723 | 17 |