Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
488 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 135 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. C22×#3944 | C2 | semidirect |
| 3. C2×#64787 | C2 | semidirect |
| 4. #10602770 | C2 | semidirect |
| 5. #10598215 | C2 | semidirect |
| 52. C2×#672 | D4 | semidirect |
| 254. C5 | #13064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3050 | 2 |
| C22×#3944 | 2 |
| C2×#64787 | 2 |
| #10602770 | 2 |
| #10598215 | 2 |
| #13064 | 5 |