Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 422 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. D5×C22⋊C16 | C2 | semidirect |
| 3. #10599661 | C2 | semidirect |
| 4. C5×#1347 | C2 | semidirect |
| 5. #10598265 | C2 | semidirect |
| 6. #10598019 | C2 | semidirect |
| 7. #10597977 | C2 | semidirect |
| 8. C2×#4058 | C4 | semidirect |
| 12. #65446 | C4 | semidirect |
| 18. #65176 | C4 | semidirect |
| 19. #65169 | C4 | semidirect |
| 71. #1347 | D5 | semidirect |
| 346. C5 | #11885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612445 | 2 |
| D5×C22⋊C16 | 2 |
| #10599661 | 2 |
| C5×#1347 | 2 |
| #10598265 | 2 |
| #10598019 | 2 |
| #10597977 | 2 |
| #11885 | 5 |