Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
554 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #10614167 | C2 | semidirect |
| 4. #10602430 | C2 | semidirect |
| 5. #10598111 | C2 | semidirect |
| 250. C5 | #9406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2548 | 2 |
| #10614167 | 2 |
| #10602552 | 2 |
| #10602430 | 2 |
| #10598111 | 2 |
| #9406 | 5 |