Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
554 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 119 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×#2983 | C2 | semidirect |
| 3. #10602430 | C2 | semidirect |
| 5. #10598237 | C2 | semidirect |
| 48. #2983 | D5 | 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×#2983 | 2 |
| #10614207 | 2 |
| #10602430 | 2 |
| #10601567 | 2 |
| #10598237 | 2 |
| #9406 | 5 |