Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
286 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 5. #66153 | C4 | semidirect |
| 7. #65529 | C4 | semidirect |
| 11. C5×#353 | C4 | semidirect |
| 13. #64760 | C4 | semidirect |
| 81. #353 | Dic5 | semidirect |
| 215. C5 | #7486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2126 | 2 |
| #10602610 | 2 |
| #10602590 | 2 |
| #7486 | 5 |