Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14530987 | C2 | semidirect |
| 3. #14530979 | C2 | semidirect |
| 5. #14526801 | C2 | semidirect |
| 7. C17×#1350 | C2 | semidirect |
| 135. #1350 | D17 | semidirect |
| 210. C17 | #12286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539674 | 2 |
| #14530987 | 2 |
| #14530979 | 2 |
| #14530226 | 2 |
| #14526801 | 2 |
| #14526709 | 2 |
| C17×#1350 | 2 |
| #12286 | 17 |