Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#1838 | C2 | semidirect |
| 3. #10601297 | C2 | semidirect |
| 4. #10600591 | C2 | semidirect |
| 5. #10598207 | C2 | semidirect |
| 42. #1838 | D5 | semidirect |
| 188. C5 | #10525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610795 | 2 |
| C5×#1838 | 2 |
| #10601297 | 2 |
| #10600591 | 2 |
| #10598207 | 2 |
| #10525 | 5 |