Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
812 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. C2×#11762950 | C2 | semidirect |
| 3. #14532443 | C2 | semidirect |
| 4. #14529619 | C2 | semidirect |
| 5. #14528718 | C2 | semidirect |
| 6. #14526630 | C2 | semidirect |
| 7. C17×#1519 | C2 | semidirect |
| 209. #1519 | D17 | semidirect |
| 322. C17 | #9948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539532 | 2 |
| C2×#11762950 | 2 |
| #14532443 | 2 |
| #14529619 | 2 |
| #14528718 | 2 |
| #14526630 | 2 |
| C17×#1519 | 2 |
| #9948 | 17 |