Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
560 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 1. #10614775 | C2 | semidirect |
| 4. C5×#1528 | C2 | semidirect |
| 6. #10601617 | C2 | semidirect |
| 7. #10598156 | C2 | semidirect |
| 81. #1528 | D5 | semidirect |
| 329. C5 | #10091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614775 | 2 |
| #10614750 | 2 |
| #10610269 | 2 |
| C5×#1528 | 2 |
| #10601625 | 2 |
| #10601617 | 2 |
| #10598156 | 2 |
| #10091 | 5 |