Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
540 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 540 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 |
|---|---|---|
| 1. #10611068 | C2 | semidirect |
| 3. #10601611 | C2 | semidirect |
| 4. #10601611 | C2 | semidirect |
| 5. #10601604 | C2 | semidirect |
| 6. C5×#1291 | C2 | semidirect |
| 7. #10598161 | C2 | semidirect |
| 70. #1291 | D5 | semidirect |
| 301. C5 | #9423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611068 | 2 |
| #10610261 | 2 |
| #10601611 | 2 |
| #10601604 | 2 |
| C5×#1291 | 2 |
| #10598161 | 2 |
| #9423 | 5 |