Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
312 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 312 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 |
|---|---|---|
| 1. C5×#2108 | C2 | semidirect |
| 4. #10600694 | C2 | semidirect |
| 6. #10598313 | C2 | semidirect |
| 7. #10598298 | C2 | semidirect |
| 21. #64737 | C4 | semidirect |
| 22. #64736 | C4 | semidirect |
| 60. #2108 | D5 | semidirect |
| 262. C5 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2108 | 2 |
| #10602235 | 2 |
| C2×#64730 | 2 |
| #10600694 | 2 |
| #10600690 | 2 |
| #10598313 | 2 |
| #10598298 | 2 |
| #13146 | 5 |