Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
480 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 85 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. C5×#2642 | C2 | semidirect |
| 4. #10602569 | C2 | semidirect |
| 5. #10602528 | C2 | semidirect |
| 7. #10598106 | C2 | semidirect |
| 78. #2642 | D5 | semidirect |
| 321. C5 | #10095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2642 | 2 |
| #10614930 | 2 |
| #10614750 | 2 |
| #10602569 | 2 |
| #10602528 | 2 |
| #10600225 | 2 |
| #10598106 | 2 |
| #10095 | 5 |