Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
694 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 694 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 9. C5×#391 | C4 | semidirect |
| 10. C5×#389 | C4 | semidirect |
| 97. #391 | Dic5 | semidirect |
| 98. #389 | Dic5 | semidirect |
| 276. C5 | #9145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2855 | 2 |
| C2×#65221 | 2 |
| C2×#64758 | 2 |
| #10602324 | 2 |
| #10598115 | 2 |
| #9145 | 5 |