Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
390 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 99 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×#2985 | C2 | semidirect |
| 3. #10602624 | C2 | semidirect |
| 6. #10598246 | C2 | semidirect |
| 7. #10598238 | C2 | semidirect |
| 72. #2985 | D5 | semidirect |
| 296. C5 | #9372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2985 | 2 |
| #10615092 | 2 |
| #10602624 | 2 |
| #10601604 | 2 |
| #10601551 | 2 |
| #10598246 | 2 |
| #10598238 | 2 |
| #9372 | 5 |