Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
412 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 3. #10601623 | C2 | semidirect |
| 5. #10600650 | C2 | semidirect |
| 6. C5×#1291 | C2 | semidirect |
| 7. #10598250 | C2 | semidirect |
| 95. #1291 | D5 | semidirect |
| 365. C5 | #9531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611088 | 2 |
| #10610241 | 2 |
| #10601623 | 2 |
| #10601602 | 2 |
| #10600650 | 2 |
| C5×#1291 | 2 |
| #10598250 | 2 |
| #9531 | 5 |