Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. C4×#10587478 | C2 | semidirect |
| 4. #14527283 | C2 | semidirect |
| 6. #14527071 | C2 | semidirect |
| 7. C17×#1986 | C2 | semidirect |
| 9. #11763205 | C4 | semidirect |
| 10. #11763183 | C4 | semidirect |
| 11. #11763159 | C4 | semidirect |
| 12. #11763157 | C4 | semidirect |
| 164. #3622 | #104 | semidirect |
| 166. #1986 | D17 | semidirect |
| 266. C17 | #9722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539344 | 2 |
| #14529703 | 2 |
| C4×#10587478 | 2 |
| #14527283 | 2 |
| #14527278 | 2 |
| #14527071 | 2 |
| C17×#1986 | 2 |
| #9722 | 17 |