Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
482 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 94 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. C2×#64910 | C2 | semidirect |
| 4. C4×#3995 | C2 | semidirect |
| 5. #10603827 | C2 | semidirect |
| 326. C5 | #13258 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#495 | 2 |
| C2×#64910 | 2 |
| C2×#64906 | 2 |
| C4×#3995 | 2 |
| #10603827 | 2 |
| #13258 | 5 |