Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
496 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 496 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 |
|---|---|---|
| 8. C22×Dic20 | C4 | semidirect |
| 18. C2×#3950 | C4 | semidirect |
| 19. C2×#3948 | C4 | semidirect |
| 297. C5 | #9814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65405 | 2 |
| C5×C8×C22⋊C4 | 2 |
| #10602770 | 2 |
| #10600716 | 2 |
| #10600238 | 2 |
| #9814 | 5 |