Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
434 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 4. #10601615 | C2 | semidirect |
| 5. #10601249 | C2 | semidirect |
| 6. C5×#1290 | C2 | semidirect |
| 7. #10598240 | C2 | semidirect |
| 27. #65003 | C4 | semidirect |
| 28. #64991 | C4 | semidirect |
| 88. #1290 | D5 | semidirect |
| 362. C5 | #9377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611054 | 2 |
| #10610747 | 2 |
| #10601626 | 2 |
| #10601615 | 2 |
| #10601249 | 2 |
| C5×#1290 | 2 |
| #10598240 | 2 |
| #9377 | 5 |