Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 103 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×#1807 | C2 | semidirect |
| 3. C2×C22⋊#672 | C2 | semidirect |
| 4. #10597977 | C2 | semidirect |
| 5. #10597976 | C2 | semidirect |
| 8. C2×#4050 | C4 | semidirect |
| 11. #65405 | C4 | semidirect |
| 13. #65404 | C4 | semidirect |
| 18. #65395 | C4 | semidirect |
| 61. #1807 | D5 | semidirect |
| 312. C5 | #11885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615473 | 2 |
| C5×#1807 | 2 |
| C2×C22⋊#672 | 2 |
| #10597977 | 2 |
| #10597976 | 2 |
| #11885 | 5 |