Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 95 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×#1481 | C2 | semidirect |
| 3. #10602623 | C2 | semidirect |
| 5. #10601267 | C2 | semidirect |
| 7. #10598235 | C2 | semidirect |
| 70. #1481 | D5 | semidirect |
| 325. C5 | #10553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615067 | 2 |
| C5×#1481 | 2 |
| #10602623 | 2 |
| #10601567 | 2 |
| #10601267 | 2 |
| C2×#64705 | 2 |
| #10598235 | 2 |
| #10553 | 5 |