Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
418 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 15. #64988 | C4 | semidirect |
| 18. #64971 | C4 | semidirect |
| 19. #64970 | C4 | semidirect |
| 244. C5 | #9763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610206 | 2 |
| C5×#1726 | 2 |
| #10600594 | 2 |
| #10600525 | 2 |
| #10600226 | 2 |
| #9763 | 5 |