Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
214 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 214 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 |
|---|---|---|
| 4. C5×#1371 | C2 | semidirect |
| 5. #10597992 | C2 | semidirect |
| 6. #10597961 | C2 | semidirect |
| 7. #10597960 | C2 | semidirect |
| 49. #1371 | D5 | semidirect |
| 188. C5 | #12035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10599845 | 2 |
| #10599363 | 2 |
| D5×#335 | 2 |
| C5×#1371 | 2 |
| #10597992 | 2 |
| #10597961 | 2 |
| #10597960 | 2 |
| #12035 | 5 |