Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14529761 | C2 | semidirect |
| 4. #14527543 | C2 | semidirect |
| 5. #14527240 | C2 | semidirect |
| 7. C17×#1744 | C2 | semidirect |
| 10. #11763207 | C4 | semidirect |
| 11. #11763182 | C4 | semidirect |
| 12. #11763160 | C4 | semidirect |
| 13. #11763156 | C4 | semidirect |
| 145. #1744 | D17 | semidirect |
| 229. C17 | #9854 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539343 | 2 |
| #14529761 | 2 |
| #14529612 | 2 |
| #14527543 | 2 |
| #14527240 | 2 |
| #14527236 | 2 |
| C17×#1744 | 2 |
| #9854 | 17 |