Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
484 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. #10605949 | C2 | semidirect |
| 4. #10598150 | C2 | semidirect |
| 5. #10598121 | C2 | semidirect |
| 26. C5×#127 | Q8 | semidirect |
| 144. #127 | Dic10 | semidirect |
| 260. C5 | #10358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10605949 | 2 |
| C5×#1961 | 2 |
| #10602558 | 2 |
| #10598150 | 2 |
| #10598121 | 2 |
| #10358 | 5 |