Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
436 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 6. C22×C5×Q16 | C4 | semidirect |
| 13. C5×#427 | C4 | semidirect |
| 14. C5×#419 | C4 | semidirect |
| 114. C22×Q16 | Dic5 | semidirect |
| 122. #427 | Dic5 | semidirect |
| 123. #419 | Dic5 | semidirect |
| 299. C5 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3059 | 2 |
| #10602805 | 2 |
| #10602804 | 2 |
| #10602664 | 2 |
| #10602663 | 2 |
| #13230 | 5 |