Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
554 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 109 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. #10610995 | C2 | semidirect |
| 5. #10601321 | C2 | semidirect |
| 6. #10598237 | C2 | semidirect |
| 7. #10598206 | C2 | semidirect |
| 335. C5 | #9406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614910 | 2 |
| #10610995 | 2 |
| C5×#1545 | 2 |
| #10602552 | 2 |
| #10601321 | 2 |
| #10598237 | 2 |
| #10598206 | 2 |
| #9406 | 5 |