Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 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. #10610212 | C2 | semidirect |
| 3. #10600591 | C2 | semidirect |
| 4. #10600338 | C2 | semidirect |
| 5. #10600337 | C2 | semidirect |
| 6. C5×#1295 | C2 | semidirect |
| 7. #10598153 | C2 | semidirect |
| 19. #65003 | C4 | semidirect |
| 20. #65002 | C4 | semidirect |
| 21. #65001 | C4 | semidirect |
| 27. #64991 | C4 | semidirect |
| 95. #1295 | D5 | semidirect |
| 387. C5 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610231 | 2 |
| #10610212 | 2 |
| #10600591 | 2 |
| #10600338 | 2 |
| #10600337 | 2 |
| C5×#1295 | 2 |
| #10598153 | 2 |
| #9432 | 5 |