Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
380 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 96 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. D5⋊#364 | C2 | semidirect |
| 3. #10603809 | C2 | semidirect |
| 4. #10598815 | C2 | semidirect |
| 5. #10598623 | C2 | semidirect |
| 19. #64889 | C22 | semidirect |
| 21. C8×#170 | C22 | semidirect |
| 29. #4065 | C8 | semidirect |
| 30. D5×Q16 | C8 | semidirect |
| 33. #4058 | C8 | semidirect |
| 34. D5×D8 | C8 | semidirect |
| 321. C5 | #11602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#443 | 2 |
| D5⋊#364 | 2 |
| #10603809 | 2 |
| #10598815 | 2 |
| #10598623 | 2 |
| #11602 | 5 |