Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #10600794 | C2 | semidirect |
| 5. #10598183 | C2 | semidirect |
| 18. #64768 | C4 | semidirect |
| 19. #64762 | C4 | semidirect |
| 252. C5 | #12975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2979 | 2 |
| #10602613 | 2 |
| #10602610 | 2 |
| #10600794 | 2 |
| #10598183 | 2 |
| #12975 | 5 |