Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
416 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. C5×#1966 | C2 | semidirect |
| 4. #10602569 | C2 | semidirect |
| 6. #10598207 | C2 | semidirect |
| 7. #10598161 | C2 | semidirect |
| 85. #1966 | D5 | semidirect |
| 349. C5 | #9339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614949 | 2 |
| #10610785 | 2 |
| C5×#1966 | 2 |
| #10602569 | 2 |
| #10600654 | 2 |
| #10598207 | 2 |
| #10598161 | 2 |
| #9339 | 5 |