Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
314 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 93 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×#1846 | C2 | semidirect |
| 4. #10598214 | C2 | semidirect |
| 5. #10598149 | C2 | semidirect |
| 42. #1846 | D5 | semidirect |
| 204. C5 | #13485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1846 | 2 |
| #10601391 | 2 |
| #10600588 | 2 |
| #10598214 | 2 |
| #10598149 | 2 |
| #13485 | 5 |