Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
388 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 4. #10601476 | C2 | semidirect |
| 5. #10600637 | C2 | semidirect |
| 6. #10598226 | C2 | semidirect |
| 7. #10598155 | C2 | semidirect |
| 21. #64786 | C4 | semidirect |
| 268. C5 | #12944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#444 | 2 |
| #10602873 | 2 |
| #10602869 | 2 |
| #10601476 | 2 |
| #10600637 | 2 |
| #10598226 | 2 |
| #10598155 | 2 |
| #12944 | 5 |