Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
418 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 95 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×#2151 | C2 | semidirect |
| 3. C2×#64736 | C2 | semidirect |
| 4. #10600696 | C2 | semidirect |
| 5. #10598299 | C2 | semidirect |
| 41. #2151 | D5 | semidirect |
| 183. C5 | #13439 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D80 | 2 |
| C5×#2151 | 2 |
| C2×#64736 | 2 |
| #10600696 | 2 |
| #10598299 | 2 |
| #13439 | 5 |