Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
330 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 99 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×#2162 | C2 | semidirect |
| 3. C4×#3951 | C2 | semidirect |
| 4. #10598020 | C2 | semidirect |
| 57. #2162 | D5 | semidirect |
| 256. C5 | #11749 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610200 | 2 |
| C5×#2162 | 2 |
| C4×#3951 | 2 |
| #10598020 | 2 |
| #10598018 | 2 |
| #11749 | 5 |