Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
668 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 219 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. C5×#1832 | C2 | semidirect |
| 4. Dic5×C4⋊C8 | C2 | semidirect |
| 5. #10600232 | C2 | semidirect |
| 7. #10599404 | C2 | semidirect |
| 50. #1832 | D5 | semidirect |
| 218. C5 | #21923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10605116 | 2 |
| C5×#1832 | 2 |
| #10601269 | 2 |
| Dic5×C4⋊C8 | 2 |
| #10600232 | 2 |
| #10599408 | 2 |
| #10599404 | 2 |
| #21923 | 5 |