Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
336 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 63 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. C2×C5×#97 | C4 | semidirect |
| 6. C5×#382 | C4 | semidirect |
| 9. #64765 | C4 | semidirect |
| 54. C2×#97 | Dic5 | semidirect |
| 55. #382 | Dic5 | semidirect |
| 166. C5 | #7504 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1961 | 2 |
| C2×#64765 | 2 |
| #7504 | 5 |