Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
334 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 334 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×#1832 | C2 | semidirect |
| 4. #10601215 | C2 | semidirect |
| 5. #10601214 | C2 | semidirect |
| 7. #10598105 | C2 | semidirect |
| 51. #1832 | D5 | semidirect |
| 235. C5 | #10665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1832 | 2 |
| #10601219 | 2 |
| #10601215 | 2 |
| #10601214 | 2 |
| #10600233 | 2 |
| #10598105 | 2 |
| #10665 | 5 |