Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
470 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 93 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. #10610315 | C2 | semidirect |
| 5. #10600296 | C2 | semidirect |
| 6. #10598171 | C2 | semidirect |
| 7. #10598117 | C2 | semidirect |
| 12. #65504 | C4 | semidirect |
| 13. #65504 | C4 | semidirect |
| 23. #65253 | C4 | semidirect |
| 24. #65253 | C4 | semidirect |
| 408. C5 | #9348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614347 | 2 |
| #10610315 | 2 |
| C5×#1519 | 2 |
| #10602469 | 2 |
| #10600296 | 2 |
| #10598171 | 2 |
| #10598117 | 2 |
| #9348 | 5 |