Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
304 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 85 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. #10602194 | C2 | semidirect |
| 3. #10601499 | C2 | semidirect |
| 6. #10601443 | C2 | semidirect |
| 7. C5×#1382 | C2 | semidirect |
| 61. #1382 | D5 | semidirect |
| 254. C5 | #13468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64730 | 2 |
| #10602194 | 2 |
| #10601499 | 2 |
| #10601483 | 2 |
| #10601451 | 2 |
| #10601443 | 2 |
| C5×#1382 | 2 |
| #13468 | 5 |