Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 1. #14530557 | C2 | semidirect |
| 5. #14529532 | C2 | semidirect |
| 6. #14526896 | C2 | semidirect |
| 7. C17×#2150 | C2 | semidirect |
| 124. #2150 | 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 |
|---|---|
| #14530557 | 2 |
| #14530521 | 2 |
| #14530513 | 2 |
| #14529672 | 2 |
| #14529532 | 2 |
| #14526896 | 2 |
| C17×#2150 | 2 |
| #13466 | 17 |