Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
542 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 542 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 |
|---|---|---|
| 2. #10614752 | C2 | semidirect |
| 4. C5×#1528 | C2 | semidirect |
| 5. #10601629 | C2 | semidirect |
| 7. #10598156 | C2 | semidirect |
| 80. #1528 | D5 | semidirect |
| 332. C5 | #10097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614798 | 2 |
| #10614752 | 2 |
| #10610257 | 2 |
| C5×#1528 | 2 |
| #10601629 | 2 |
| #10601611 | 2 |
| #10598156 | 2 |
| #10097 | 5 |