Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14537778 | C2 | semidirect |
| 3. #14527394 | C2 | semidirect |
| 4. #14527343 | C2 | semidirect |
| 5. #14527320 | C2 | semidirect |
| 6. #14526683 | C2 | semidirect |
| 7. C17×#1295 | C2 | semidirect |
| 10. #11763218 | C4 | semidirect |
| 11. #11763198 | C4 | semidirect |
| 12. #11763174 | C4 | semidirect |
| 13. #11763169 | C4 | semidirect |
| 186. #1295 | D17 | semidirect |
| 296. C17 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539482 | 2 |
| #14537778 | 2 |
| #14527394 | 2 |
| #14527343 | 2 |
| #14527320 | 2 |
| #14526683 | 2 |
| C17×#1295 | 2 |
| #9432 | 17 |