Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #14530558 | C2 | semidirect |
| 2. #14530539 | C2 | semidirect |
| 6. #14529530 | C2 | semidirect |
| 7. C17×#1388 | C2 | semidirect |
| 129. #1388 | D17 | semidirect |
| 196. C17 | #13466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530558 | 2 |
| #14530539 | 2 |
| #14530521 | 2 |
| #14530511 | 2 |
| #14529670 | 2 |
| #14529530 | 2 |
| C17×#1388 | 2 |
| #13466 | 17 |