Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
442 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 442 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. #10611021 | C2 | semidirect |
| 3. #10601609 | C2 | semidirect |
| 4. #10601604 | C2 | semidirect |
| 5. #10601551 | C2 | semidirect |
| 6. C5×#1287 | C2 | semidirect |
| 7. #10598246 | C2 | semidirect |
| 77. #1287 | D5 | semidirect |
| 321. C5 | #9371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611081 | 2 |
| #10611021 | 2 |
| #10601609 | 2 |
| #10601604 | 2 |
| #10601551 | 2 |
| C5×#1287 | 2 |
| #10598246 | 2 |
| #9371 | 5 |