Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
296 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 89 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×#1849 | C2 | semidirect |
| 4. #10598225 | C2 | semidirect |
| 5. #10598154 | C2 | semidirect |
| 42. #1849 | D5 | semidirect |
| 201. C5 | #13486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1849 | 2 |
| #10601480 | 2 |
| #10600638 | 2 |
| #10598225 | 2 |
| #10598154 | 2 |
| #13486 | 5 |