Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
246 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 65 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. #10602091 | C2 | semidirect |
| 5. C5×#1362 | C2 | semidirect |
| 6. #10598046 | C2 | semidirect |
| 7. #10597965 | C2 | semidirect |
| 53. #1362 | D5 | semidirect |
| 118. #168 | SD32 | semidirect |
| 208. C5 | #12426 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10602108 | 2 |
| #10602091 | 2 |
| #10600080 | 2 |
| #10599349 | 2 |
| C5×#1362 | 2 |
| #10598046 | 2 |
| #10597965 | 2 |
| #12426 | 5 |