Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
138 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4×C5×C32 | C2 | semidirect |
| 3. #10597991 | C2 | semidirect |
| 21. D80 | C8 | semidirect |
| 24. C4×C32 | D5 | semidirect |
| 110. C5 | #7383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D80 | 2 |
| C4×C5×C32 | 2 |
| #10597991 | 2 |
| #7383 | 5 |