Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 89 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. #10605996 | C2 | semidirect |
| 4. #10601616 | C2 | semidirect |
| 6. C5×#1288 | C2 | semidirect |
| 7. #10598157 | C2 | semidirect |
| 17. #64983 | C4 | semidirect |
| 18. #64970 | C4 | semidirect |
| 68. #1288 | D5 | semidirect |
| 278. C5 | #9430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610259 | 2 |
| #10605996 | 2 |
| #10601628 | 2 |
| #10601616 | 2 |
| #10600357 | 2 |
| C5×#1288 | 2 |
| #10598157 | 2 |
| #9430 | 5 |