Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
462 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 462 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. #10605361 | C2 | semidirect |
| 4. #10601605 | C2 | semidirect |
| 6. C5×#1285 | C2 | semidirect |
| 7. #10598243 | C2 | semidirect |
| 24. #65002 | C4 | semidirect |
| 25. #64991 | C4 | semidirect |
| 86. #1285 | D5 | semidirect |
| 367. C5 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611049 | 2 |
| #10605361 | 2 |
| #10601628 | 2 |
| #10601605 | 2 |
| #10600285 | 2 |
| C5×#1285 | 2 |
| #10598243 | 2 |
| #9382 | 5 |