Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
278 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 81 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. #10601450 | C2 | semidirect |
| 5. #10598298 | C2 | semidirect |
| 6. #10598296 | C2 | semidirect |
| 7. #10598216 | C2 | semidirect |
| 253. C5 | #13489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2138 | 2 |
| #10602879 | 2 |
| #10602874 | 2 |
| #10601450 | 2 |
| #10598298 | 2 |
| #10598296 | 2 |
| #10598216 | 2 |
| #13489 | 5 |