Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 4. #14526641 | C2 | semidirect |
| 5. #14526640 | C2 | semidirect |
| 6. #14526639 | C2 | semidirect |
| 7. C17×#1285 | C2 | semidirect |
| 164. #1285 | D17 | semidirect |
| 254. C17 | #8742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531264 | 2 |
| #14527116 | 2 |
| #14526641 | 2 |
| #14526640 | 2 |
| #14526639 | 2 |
| C17×#1285 | 2 |
| #8742 | 17 |