Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
670 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 87 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×#1464 | C2 | semidirect |
| 3. #10602365 | C2 | semidirect |
| 4. #10597935 | C2 | semidirect |
| 53. #1464 | D5 | semidirect |
| 314. C5 | #11503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614000 | 2 |
| C5×#1464 | 2 |
| #10602365 | 2 |
| #10597935 | 2 |
| #11503 | 5 |