Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
488 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 107 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. C22×C5×C4⋊C4 | C4 | semidirect |
| 14. C5×#385 | C4 | semidirect |
| 15. C5×#385 | C4 | semidirect |
| 16. C5×#380 | C4 | semidirect |
| 113. C22×C4⋊C4 | Dic5 | semidirect |
| 123. #385 | Dic5 | semidirect |
| 124. #385 | Dic5 | semidirect |
| 125. #380 | Dic5 | semidirect |
| 344. C5 | #13297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2579 | 2 |
| C4×#3966 | 2 |
| #10602410 | 2 |
| #10598128 | 2 |
| #13297 | 5 |