Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
888 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 888 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14539559 | C2 | semidirect |
| 4. #14529769 | C2 | semidirect |
| 6. #14527357 | C2 | semidirect |
| 7. C17×#1282 | C2 | semidirect |
| 208. #1282 | D17 | semidirect |
| 319. C17 | #9955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539559 | 2 |
| C2×#11762962 | 2 |
| #14532435 | 2 |
| #14529769 | 2 |
| #14528716 | 2 |
| #14527357 | 2 |
| C17×#1282 | 2 |
| #9955 | 17 |