Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
292 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. #14526767 | C2 | semidirect |
| 5. #14526766 | C2 | semidirect |
| 6. #14526765 | C2 | semidirect |
| 7. C17×#1338 | C2 | semidirect |
| 129. #1338 | D17 | semidirect |
| 201. C17 | #11641 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537715 | 2 |
| #14530585 | 2 |
| #14530582 | 2 |
| #14526767 | 2 |
| #14526766 | 2 |
| #14526765 | 2 |
| C17×#1338 | 2 |
| #11641 | 17 |