Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1382 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 1382 conjugacy classes of subgroups — too many to draw. Only its 267 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. #10610351 | C2 | semidirect |
| 5. #10600856 | C2 | semidirect |
| 6. Dic5×#100 | C2 | semidirect |
| 7. #10600767 | C2 | semidirect |
| 20. #65407 | C22 | semidirect |
| 21. M16×Dic5 | C22 | semidirect |
| 23. #64774 | C22 | semidirect |
| 262. C5 | #20729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66132 | 2 |
| #10610351 | 2 |
| C5×#1783 | 2 |
| #10602922 | 2 |
| #10600856 | 2 |
| Dic5×#100 | 2 |
| #10600767 | 2 |
| #20729 | 5 |