Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
830 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 830 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#11762967 | C2 | semidirect |
| 4. C2×#11762547 | C2 | semidirect |
| 6. #14527054 | C2 | semidirect |
| 7. C17×#1280 | C2 | semidirect |
| 213. #1280 | D17 | semidirect |
| 325. C17 | #9965 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762967 | 2 |
| C2×#11762950 | 2 |
| #14534712 | 2 |
| C2×#11762547 | 2 |
| C2×#11762544 | 2 |
| #14527054 | 2 |
| C17×#1280 | 2 |
| #9965 | 17 |