Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
520 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 97 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×#3059 | C2 | semidirect |
| 2. C2×#65468 | C2 | semidirect |
| 4. C2×#64785 | C2 | semidirect |
| 5. #10602799 | C2 | semidirect |
| 6. #10601449 | C2 | semidirect |
| 7. #10598218 | C2 | semidirect |
| 84. #3059 | D5 | semidirect |
| 388. C5 | #13311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3059 | 2 |
| C2×#65468 | 2 |
| #10615536 | 2 |
| C2×#64785 | 2 |
| #10602799 | 2 |
| #10601449 | 2 |
| #10598218 | 2 |
| #13311 | 5 |