Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
530 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 155 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. C5×#1450 | C2 | semidirect |
| 3. #10601571 | C2 | semidirect |
| 5. #10600585 | C2 | semidirect |
| 51. #1450 | D5 | semidirect |
| 216. C5 | #9768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64982 | 2 |
| C5×#1450 | 2 |
| #10601571 | 2 |
| #10601567 | 2 |
| #10600585 | 2 |
| #9768 | 5 |