Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
812 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 812 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 |
|---|---|---|
| 2. C2×#11762948 | C2 | semidirect |
| 3. #14529620 | C2 | semidirect |
| 4. #14528719 | C2 | semidirect |
| 5. #14527352 | C2 | semidirect |
| 6. #14526632 | C2 | semidirect |
| 7. C17×#2436 | C2 | semidirect |
| 206. #2436 | 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×#11762948 | 2 |
| #14529620 | 2 |
| #14528719 | 2 |
| #14527352 | 2 |
| #14526632 | 2 |
| C17×#2436 | 2 |
| #9948 | 17 |