Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14528472 | C2 | semidirect |
| 3. #14527545 | C2 | semidirect |
| 5. #14527296 | C2 | semidirect |
| 7. C17×#1531 | C2 | semidirect |
| 9. #11763205 | C4 | semidirect |
| 10. #11763183 | C4 | semidirect |
| 11. #11763159 | C4 | semidirect |
| 12. #11763157 | C4 | semidirect |
| 159. #1531 | D17 | semidirect |
| 254. C17 | #9761 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539344 | 2 |
| #14528472 | 2 |
| #14527545 | 2 |
| #14527394 | 2 |
| #14527296 | 2 |
| #14527293 | 2 |
| C17×#1531 | 2 |
| #9761 | 17 |