Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
258 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #10601287 | C2 | semidirect |
| 5. C5×#1307 | C2 | semidirect |
| 6. #10598247 | C2 | semidirect |
| 7. #10598246 | C2 | semidirect |
| 53. #1307 | D5 | semidirect |
| 220. C5 | #10645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10601609 | 2 |
| #10601594 | 2 |
| #10601297 | 2 |
| #10601287 | 2 |
| C5×#1307 | 2 |
| #10598247 | 2 |
| #10598246 | 2 |
| #10645 | 5 |