Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
470 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 7. C5×#381 | C4 | semidirect |
| 8. C2×#3968 | C4 | semidirect |
| 10. C2×#3966 | C4 | semidirect |
| 87. #381 | Dic5 | semidirect |
| 251. C5 | #7313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1782 | 2 |
| #10602932 | 2 |
| #10602930 | 2 |
| #7313 | 5 |