Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14528937 | C2 | semidirect |
| 5. #14526679 | C2 | semidirect |
| 6. #14526612 | C2 | semidirect |
| 7. C17×#1301 | C2 | semidirect |
| 135. #1301 | D17 | semidirect |
| 209. C17 | #10627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529615 | 2 |
| #14528937 | 2 |
| #14527434 | 2 |
| #14527431 | 2 |
| #14526679 | 2 |
| #14526612 | 2 |
| C17×#1301 | 2 |
| #10627 | 17 |